Akihiko Miyachi

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All published works

Action	Title	Year	Authors
+ PDF Chat	On some bilinear Fourier multipliers with oscillating factors, II	2024	Tomoya Kato Akihiko Miyachi Naoto Shida Naohito Tomita
+ PDF Chat	On some bilinear Fourier multipliers with oscillating factors, I	2024	Tomoya Kato Akihiko Miyachi Naoto Shida Naohito Tomita
+	Estimates for a certain bilinear Fourier integral operator	2024	Tomoya Kato Akihiko Miyachi Naohito Tomita
+ PDF Chat	Bilinear oscillatory Fourier multipliers	2024	Tomoya Kato Akihiko Miyachi Naoto Shida Naohito Tomita
+	Estimates for some bilinear wave operators	2024	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Estimates for some bilinear wave operators	2023	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Estimates for a certain bilinear Fourier integral operator	2023	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Boundedness of bilinear pseudo-differential operators of S0,0-type in Wiener amalgam spaces and in Lebesgue spaces	2022	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class S0,0	2021	Tomoya Kato Akihiko Miyachi Naohito Tomita
+ PDF Chat	Boundedness of multilinear pseudo-differential operators with symbols in the H\"ormander class $S_{0,0}$	2021	Tomoya Kato Akihiko Miyachi Naohito Tomita
+ PDF Chat	Bilinear pseudo-differential operators with exotic symbols	2021	Akihiko Miyachi Naohito Tomita
+ PDF Chat	Boundedness of bilinear pseudo-differential operators of $$S_{0,0}$$-type on $$L^2 \times L^2$$	2021	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class $S_{0,0}$	2021	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Notes on bilinear lattice bump Fourier multipliers	2021	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type in Wiener amalgam spaces and in Lebesgue spaces	2021	Tomoya Kato Akihiko Miyachi Naohito Tomita
+ PDF Chat	Boundedness of multilinear pseudo-differential operators of $S_{0,0}$-type in $L^2$-based amalgam spaces	2020	Tomoya Kato Akihiko Miyachi Naohito Tomita
+ PDF Chat	Limited smoothness conditions with mixed norms for bilinear Fourier multipliers	2020	Akihiko Miyachi Naoto Shida Naohito Tomita
+	Notes on lattice bump Fourier multiplier operators on $L^2 \times L^2$	2020	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Boundedness of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$	2019	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Boundedness of multilinear pseudo-differential operators of $S_{0,0}$-type in $L^2$-based amalgam spaces	2019	Tomoya Kato Akihiko Miyachi Naohito Tomita
+	Limited smoothness conditions with mixed norms for bilinear Fourier multipliers	2019	Akihiko Miyachi Naoto Shida Naohito Tomita
+ PDF Chat	Bilinear pseudo-differential operators with exotic symbols, II	2018	Akihiko Miyachi Naohito Tomita
+	Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1	2018	Elijah Liflyand Akihiko Miyachi
+	Bilinear pseudo-differential operators with exotic symbols	2018	Akihiko Miyachi Naohito Tomita
+	Bilinear pseudo-differential operators with exotic symbols, II	2018	Akihiko Miyachi Naohito Tomita
+	Multilinear Fourier multipliers with minimal Sobolev regularity, II	2017	Loukas Grafakos Akihiko Miyachi Hanh Van Nguyen Naohito Tomita
+	Estimates for trilinear flag paraproducts on $$L^{\infty }$$ L ∞ and Hardy spaces	2015	Akihiko Miyachi Naohito Tomita
+	Multilinear Fourier Multipliers with Minimal Sobolev Regularity, II	2015	Loukas Grafakos Akihiko Miyachi Hanh Van Nguyen Naohito Tomita
+ PDF Chat	Boundedness criterion for bilinear Fourier multiplier operators	2014	Akihiko Miyachi Naohito Tomita
+	Estimates for bilinear Fourier multiplier operators and bilinear pseudo-differential operators (Harmonic Analysis and Nonlinear Partial Differential Equations)	2013	Akihiko Miyachi
+ PDF Chat	Minimal smoothness conditions for bilinear Fourier multipliers	2013	Akihiko Miyachi Naohito Tomita
+	Calderon-Vaillancourt--type theorem for bilinear operators	2013	Akihiko Miyachi Naohito Tomita
+ PDF Chat	On Multilinear Fourier Multipliers of Limited Smoothness	2012	Loukas Grafakos Akihiko Miyachi Naohito Tomita
+ PDF Chat	Schatten <i>p</i>-class property of pseudodifferential operators with symbols in modulation spaces	2012	Masaharu Kobayashi Akihiko Miyachi
+ PDF Chat	Schatten p-class property of pseudodifferential operators with symbols in modulation spaces	2012	Masaharu Kobayashi Akihiko Miyachi
+	REFINEMENTS OF THE HARDY AND MORGAN UNCERTAINTY PRINCIPLES	2011	Takeshi Kawazoe J Liu Akihiko Miyachi
+ PDF Chat	Change of variables for weighted Hardy spaces on a domain	2009	Akihiko Miyachi
+ PDF Chat	Estimates for unimodular Fourier multipliers on modulation spaces	2009	Akihiko Miyachi Fabio Nicola Silvia Rivetti Anita Tabacco Naohito Tomita
+ PDF Chat	Boundedness of the Hausdorff operators in H<sup>p</sup>spaces, 0<p<1	2009	Elijah Liflyand Akihiko Miyachi
+ PDF Chat	Embedding relations between local Hardy and modulation spaces	2009	Masaharu Kobayashi Akihiko Miyachi Naohito Tomita
+	Weighted Hardy spaces and Jacobi series	2008	Akihiko Miyachi
+	Weighted Hardy spaces on an interval and Poisson integrals associated with ultraspherical series	2006	Akihiko Miyachi
+	Transplantation theorem for Jacobi series in weighted Hardy spaces, II	2006	Akihiko Miyachi
+	Weighted $H^p$ spaces on a domain and singular integrals (Harmonic Analysis and Nonlinear Partial Differential Equations)	2004	Akihiko Miyachi
+	Boundedness of the Ces�ro Operator in Hardy Spaces	2004	Akihiko Miyachi
+	A transplantation theorem for Jacobi series in weighted Hardy spaces	2003	Akihiko Miyachi
+	Weighted Hardy Spaces on a Domain and its Application	2003	Akihiko Miyachi
+	Remarks on Herz-Type Hardy Spaces	2001	Akihiko Miyachi
+	Remarks on Herz-Type Hardy Spaces	2001	Akihiko Miyachi
+ PDF Chat	Hardy Space Estimate for the Product of Singular Integrals	2000	Akihiko Miyachi
+	Weighted Hardy Spaces on a Domain	2000	Akihiko Miyachi
+	On the extension properties of Triebel-Lizorkin spaces	1998	Akihiko Miyachi
+ PDF Chat	Atomic decomposition for Sobolev spaces and for the $C^{\alpha}_{p}$ spaces on general domains	1997	Akihiko Miyachi
+	ATOMIC DECOMPOSITION FOM SOBOLEV SPACES AND FOR THE C; SPACES ON GENERAL DOMAINS Dedicated to ProfessorSatoruIgarion the occasion of hissixtiethbirthday	1997	Akihiko Miyachi
+	Extension theorems for real variable Hardy and Hardy-Sobolev spaces	1991	Akihiko Miyachi
+ PDF Chat	Hardy-Sobolev spaces and maximal functions	1990	Akihiko Miyachi
+ PDF Chat	$H^{p}$ spaces over open subsets of $R^{n}$	1990	Akihiko Miyachi
+	Estimates For Pseudo-Differential Operators Of Class Smρ, δ in Lp, hp, and bmo	1988	Akihiko Miyachi
+	A Factorization Theorem for the Real Hardy Spaces	1988	Akihiko Miyachi
+	Maximal Functions for Distributions on Open Sets	1987	Akihiko Miyachi
+ PDF Chat	Sharp function estimates for pseudo-differential operators of class Sρ, δm	1987	Akihiko Miyachi Kôzô Yabuta
+	Estimates for Pseudo-Differential Operators of Class S0,0	1987	Akihiko Miyachi
+	Estimates for pseudo-differential operators with exotic symbols	1987	Akihiko Miyachi
+ PDF Chat	Lp-boundedness of pseudo-differential operators with non-regular symbols	1985	Akihiko Miyachi Kôzô Yabuta
+ PDF Chat	Weak factorization of distributions in<i>H</i><sup><i>p</i></sup>spaces	1984	Akihiko Miyachi
+ PDF Chat	On good λ-inequalities	1984	Akihiko Miyachi Kôzô Yabuta
+	Notes on Fourier multipliers for $H\sp{p}$, BMO and the Lipschitz spaces	1983	Akihiko Miyachi
+ PDF Chat	Products of distributions in $H^{p}$ spaces	1983	Akihiko Miyachi
+	On some singular Fourier multipliers	1981	Akihiko Miyachi
+	On some estimates for the wave equation in Lp and Hp	1980	Akihiko Miyachi
+	Some singular integral transformations bounded in the Hardy space $H^1(R^n)$	1978	Akihiko Miyachi
+ PDF Chat	On the weakly strongly singular integrals	1978	Akihiko Miyachi

Common Coauthors

Coauthor	Papers Together
Naohito Tomita	33
Tomoya Kato	11
Tomoya Kato	7
Naoto Shida	5
Loukas Grafakos	3
Kôzô Yabuta	3
Masaharu Kobayashi	3
Elijah Liflyand	2
Hanh Van Nguyen	2
Fabio Nicola	1
Takeshi Kawazoe	1
Anita Tabacco	1
J Liu	1
Silvia Rivetti	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	19
+ PDF Chat	Hp spaces of several variables	1972	Charles Fefferman E. M. Stein	18
+	A local version of real Hardy spaces	1979	David Theo Goldberg	16
+	Multilinear Calderón–Zygmund Theory	2002	Loukas Grafakos Rodolfo H. Torres	15
+	Parabolic maximal functions associated with a distribution, II	1977	A. P. Calderón Alberto Torchinsky	12
+	A Class of Bounded Pseudo-Differential Operators	1972	Alberto P. Calderón Rémi Vaillancourt	12
+	Classical Fourier Analysis	2014	Loukas Grafakos	11
+	Calderon-Vaillancourt--type theorem for bilinear operators	2013	Akihiko Miyachi Naohito Tomita	10
+ PDF Chat	On the Hormander classes of bilinear pseudodifferential operators II	2013	Árpád Bényi Frédéric Bernicot Diego Maldonado Virginia Naibo Rodolfo H. Torres	10
+ PDF Chat	Minimal smoothness conditions for bilinear Fourier multipliers	2013	Akihiko Miyachi Naohito Tomita	9
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	9
+	Theory of function spaces	1983	Hans Triebel	9
+ PDF Chat	Almost orthogonality and a class of bounded bilinear pseudodifferential operators	2004	Árpád Bényi Rodolfo H. Torres	9
+	Theory of Function Spaces	1983	Hans Triebel	9
+ PDF Chat	$H^{p}$ spaces over open subsets of $R^{n}$	1990	Akihiko Miyachi	9
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	8
+ PDF Chat	On the Hörmander Classes of Bilinear Pseudodifferential Operators	2010	Árpád Bényi Diego Maldonado Virginia Naibo Rodolfo H. Torres	8
+	Special trigonometric series in 𝑘-dimensions	1965	Stephen Wainger	8
+	Multilinear pseudodifferential operators beyond Calderón–Zygmund theory	2014	Nicholas Michalowski David Rule Wolfgang Staubach	7
+ PDF Chat	On Multilinear Fourier Multipliers of Limited Smoothness	2012	Loukas Grafakos Akihiko Miyachi Naohito Tomita	7
+ PDF Chat	Estimates for translation invariant operators in Lp spaces	1960	Lars Hörmander	7
+ PDF Chat	Multilinear estimates and fractional integration	1999	Carlos E. Kenig Elias M. Stein	7
+	Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators	2003	Árpád Bényi Rodolfo H. Torres	7
+	Estimates for Pseudo-Differential Operators of Class S0,0	1987	Akihiko Miyachi	7
+	Estimates for the norm of pseudo-differential operators by means of Besov spaces	1987	Tosinobu Muramatu	6
+	Multilinear Calderón-Zygmund operators on Hardy spaces	2001	Loukas Grafakos N. J. Kalton	6
+ PDF Chat	Modulation Spaces on the Euclidean $n$-Space	1983	Hans Triebel	6
+ PDF Chat	Weighted norm inequalities for multilinear Fourier multipliers	2012	Mai Fujita Naohito Tomita	6
+	$L^2$ estimates for pseudodifferential operators	1995	Abdesslam Boulkhemair	5
+ PDF Chat	Modulation spaces<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mrow><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:msup></mml:math>for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>0</mml:mn><mml:mo><</mml:mo><mml:mi>p</mml:mi></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi><mml:mo>≦</mml:mo><mml:mi>∞</mml:mi></mml:math>	2006	Masaharu Kobayashi	5
+	The Hörmander multiplier theorem for multilinear operators	2011	Loukas Grafakos Zengyan Si	5
+ PDF Chat	Lp-boundedness of Pseudo-differential operators satisfying Besov estimates I	1988	Mitsuru Sugimoto	5
+ PDF Chat	On commutators of singular integrals and bilinear singular integrals	1975	Ronald R. Coifman Yves Meyer	5
+ PDF Chat	On the interpolation of analytic families of operators acting on $H^{p}$-spaces	1957	E. M. Stein Guido Weiss	5
+	Banach Spaces of Distributions of Wiener’s Type and Interpolation	1981	Hans G. Feichtinger	5
+	Weighted Hardy Spaces on a Domain	2000	Akihiko Miyachi	5
+	A Hörmander type multiplier theorem for multilinear operators	2010	Naohito Tomita	5
+ PDF Chat	On the radial maximal function of distributions	1986	Akihito Uchiyama	4
+	On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators	1975	H. O. Cordes	4
+	Maximal Functions for Distributions on Open Sets	1987	Akihiko Miyachi	4
+	The global Cauchy problem for the NLS and NLKG with small rough data	2006	Baoxiang Wang Henryk Hudzik	4
+	Transplantation theorems and multiplier theorems for Jacobi series	1986	Benjamin Muckenhoupt	4
+	Factorization Theorems for Hardy Spaces in Several Variables	1976	Ronald R. Coifman Richard Rochberg Guido Weiss	4
+ PDF Chat	Orthogonal Polynomials	1971		4
+ PDF Chat	Boundedness criterion for bilinear Fourier multiplier operators	2014	Akihiko Miyachi Naohito Tomita	4
+	Maximal functions measuring smoothness	1984	Ronald DeVore Robert Sharpley	4
+	On some singular Fourier multipliers	1981	Akihiko Miyachi	4
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein	4
+	Time-frequency analysis on modulation spaces Mmp,q, 0<p,q⩽∞	2003	Yevgeniy V. Galperin Salti Samarah	4
+ PDF Chat	Commutateurs d'intégrales singulières et opérateurs multilinéaires	1978	Ronald R. Coifman Yves Meyer	4