Alberto Torchinsky

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All published works

Action	Title	Year	Authors
+ PDF Chat	Integration of monomials over the unit spere and unit ball in $R^n$	2025	Calixto P. Calderón Alberto Torchinsky
+	The Hausdorff–Young Inequality and Freud weights	2023	Calixto P. Calderón Alberto Torchinsky
+	Coda	2022	Alberto Torchinsky
+	Introduction	2022	Alberto Torchinsky
+	A Convergence Theorem	2022	Alberto Torchinsky
+	The Pattern and Uniform Integrals	2022	Alberto Torchinsky
+	The Modified Π-Riemann Sums	2022	Alberto Torchinsky
+	The Improper and Dominated Integrals	2022	Alberto Torchinsky
+	The Π-Riemann Integral	2022	Alberto Torchinsky
+	A Modern View of the Riemann Integral	2022	Alberto Torchinsky
+ PDF Chat	A characterization of the Lorentz space $L(p,r)$ in terms of Orlicz type classes	2021	Calixto P. Calderón Alberto Torchinsky
+	A Characterization of the Lorentz space $L(p,r)$ in terms of Orlicz type classes	2019	Calixto P. Calderón Alberto Torchinsky
+ PDF Chat	Bessel functions and the wave equation	2019	Alberto Torchinsky
+	The change of variable formula for Riemann-Stieltjes integrals	2019	Alberto Torchinsky
+	The change of variable formula for the Riemann integral	2019	Alberto Torchinsky
+	Modified Riemann sums of Riemann-Stieltjes integrable functions	2019	Alberto Torchinsky
+	A Characterization of the Lorentz space $L(p,r)$ in terms of Orlicz type classes	2019	Calixto P. Calderón Alberto Torchinsky
+	Bessel Functions and the Wave Equation	2018	Alberto Torchinsky
+	Fubini’s Theorem	2018	Alberto Torchinsky
+	The Riemann-Stieltjes Integral	2018	Alberto Torchinsky
+	L p Spaces	2018	Alberto Torchinsky
+	Cardinal Numbers	2018	Alberto Torchinsky
+	Measurable Functions	2018	Alberto Torchinsky
+	Hilbert Spaces	2018	Alberto Torchinsky
+	Bessel Functions and the Wave Equation	2018	Alberto Torchinsky
+	Characterizations of the Hardy space 𝐻¹(ℝ) and BMO(ℝ)	2017	Wael Abu-Shammala Ji‐Liang Shiu Alberto Torchinsky
+	Problems in Real and Functional Analysis	2015	Alberto Torchinsky
+	Normed linear spaces. Linear operators	2015	Alberto Torchinsky
+	Sequences of functions	2015	Alberto Torchinsky
+	Set theory and metric spaces	2015	Alberto Torchinsky
+	Measurable and integrable functions	2015	Alberto Torchinsky
+	Normed linear spaces. Linear operators	2015	Alberto Torchinsky
+	Lebesgue measure	2015	Alberto Torchinsky
+ PDF Chat	Measurable and integrable functions	2015	Alberto Torchinsky
+	Lebesgue measure	2015	Alberto Torchinsky
+	Sequences of functions	2015	Alberto Torchinsky
+	Normed linear spaces. Functionals	2015	Alberto Torchinsky
+	Weighted local estimates for singular integral operators	2015	Jonathan Poelhuis Alberto Torchinsky
+ PDF Chat	Weighted Local Estimates for Fractional Type Operators	2014	Alberto Torchinsky
+	Local Sharp Maximal Functions	2014	Björn Jawerth Alberto Torchinsky
+	Weighted Local Estimates for Singular Integral Operators	2013	Jonathan Poelhuis Alberto Torchinsky
+	Weighted Local Estimates for Singular Integral Operators	2013	Jonathan Poelhuis Alberto Torchinsky
+	Medians, Continuity, and Oscillation	2012	Jonathan Poelhuis Alberto Torchinsky
+	On a Local Mean Oscillation Decomposition	2012	Jonathan Poelhuis Alberto Torchinsky
+ PDF Chat	Medians, continuity, and vanishing oscillation	2012	Jonathan Poelhuis Alberto Torchinsky
+	Medians, Continuity, and Oscillation	2012	Jonathan Poelhuis Alberto Torchinsky
+ PDF Chat	The Fourier Transform and the Wave Equation	2011	Alberto Torchinsky
+	The Fourier transform and the wave equation	2009	Alberto Torchinsky
+ PDF Chat	Spaces between $H^{1}$ and $L^{1}$	2008	Wael Abu-Shammala Alberto Torchinsky
+ PDF Chat	From dyadic $\Lambda_{\alpha}$ to $\Lambda_{\alpha}$	2008	Wael Abu-Shammala Alberto Torchinsky
+	The atomic decomposition in 𝐿¹(𝑅ⁿ)	2007	Wael Abu-Shammala Alberto Torchinsky
+	From dyadic $\Lambda_{\alpha}$ to $\Lambda_{\alpha}$	2007	Wael Abu-Shammala Alberto Torchinsky
+	The Hardy-Lorentz Spaces $H^{p,q}(R^n)$	2007	Wael Abu-Shammala Alberto Torchinsky
+	FROM DYADIC α TO α	2007	Wael Abu-Shammala Alberto Torchinsky
+ PDF Chat	The Hardy–Lorentz spaces H<sup>p,q</sup>(R<sup>n</sup>)	2007	Wael Abu-Shammala Alberto Torchinsky
+	From dyadic $Λ_α$ to $Λ_α$	2007	Wael Abu-Shammala Alberto Torchinsky
+	The Hardy-Lorentz Spaces $H^{p,q}(R^n)$	2007	Wael Abu-Shammala Alberto Torchinsky
+	Spaces between $H^1$ and $L^1$	2005	Wael Abu-Shammala Alberto Torchinsky
+	Characterizations of the Hardy Space $H^1$ and BMO	2005	Wael Abu-Shammala Ji‐Liang Shiu Alberto Torchinsky
+	Spaces between $H^1$ and $L^1$	2005	Wael Abu-Shammala Alberto Torchinsky
+ PDF Chat	A weighted version of Journé's Lemma	1994	Donald Krug Alberto Torchinsky
+	Poincare and Sobolev Inequalities in Product Spaces	1993	Xianliang Shi Alberto Torchinsky
+ PDF Chat	Poincaré and Sobolev inequalities in product spaces	1993	Xian Liang Shi Alberto Torchinsky
+ PDF Chat	A note on the Marcinkiewicz integral	1990	Alberto Torchinsky Shilin Wang
+	Weighted Hardy Spaces	1989	Jan-Olov Strömberg Alberto Torchinsky
+	Singular integrals and multipliers	1989	Jan-Olov Strömberg Alberto Torchinsky
+	Sharp maximal functions	1989	Jan-Olov Strömberg Alberto Torchinsky
+	Decomposition of weights	1989	Jan-Olov Strömberg Alberto Torchinsky
+	Extensions of distributions	1989	Jan-Olov Strömberg Alberto Torchinsky
+	Functions in the upper half-space	1989	Jan-Olov Strömberg Alberto Torchinsky
+	The Hardy spaces	1989	Jan-Olov Strömberg Alberto Torchinsky
+ PDF Chat	Weighted Hardy Spaces	1989	Jan-Olov Strömberg Alberto Torchinsky
+	LOCAL SHARP MAXIMAL FUNCTIONS IN SPACES OF HOMOGENEOUS TYPE	1987	Xianliang Shi Alberto Torchinsky
+	Functions of Vanishing Mean Oscillation	1987	Xianliang Shi Alberto Torchinsky
+ PDF Chat	A Note on Real Interpolation of Hardy Spaces in the Polydisk	1986	Björn Jawerth Alberto Torchinsky
+ PDF Chat	A note on real interpolation of Hardy spaces in the polydisk	1986	Björn Jawerth Alberto Torchinsky
+ PDF Chat	Sharp function and weighted Lp estimates for a class of pseudo-differential operators	1985	Sagun Chanillo Alberto Torchinsky
+	Local sharp maximal functions	1985	Björn Jawerth Alberto Torchinsky
+	Box maximal functions	1984	Alberto Torchinsky
+ PDF Chat	On a Hardy and Littlewood imbedding theorem.	1984	Björn Jawerth Alberto Torchinsky
+ PDF Chat	The strong maximal function with respect to measures	1984	Björn Jawerth Alberto Torchinsky
+	An Introduction to Classical Real Analysis.	1983	Alberto Torchinsky Karl Stromberg
+	<i>An Introduction to Classical Real Analysis</i>. By Karl R. Stromberg	1983	Alberto Torchinsky
+ PDF Chat	Integral inequalities with weights for the Hardy maximal function	1982	Ron Kerman Alberto Torchinsky
+ PDF Chat	Weights, sharp maximal functions and hardy spaces	1980	Jan-Olov Strömberg Alberto Torchinsky
+ PDF Chat	Multipliers in Hp(Rn), 0< p<∞	1979	Juan Carlos Peral Alberto Torchinsky
+	Restrictions and extensions of potentials of Hp distributions	1979	Alberto Torchinsky
+	Weighted norm inequalities for the Littlewood-Paley function 𝑔*_{𝜆}	1979	Alberto Torchinsky
+ PDF Chat	The K-functional for rearrangement invariant spaces	1979	Alberto Torchinsky
+	Parabolic maximal functions associated with a distribution, II	1977	A. P. Calderón Alberto Torchinsky
+ PDF Chat	Interpolation of operations and Orlicz classes	1976	Alberto Torchinsky
+	Parabolic maximal functions associated with a distribution	1975	A. P. Calderón Alberto Torchinsky
+ PDF Chat	On a mean value inequality	1975	Alberto Torchinsky
+ PDF Chat	Singular integrals in the space Λ(B,X)	1973	Alberto Torchinsky
+ PDF Chat	Singular integrals in the spaces $\Lambda \left( {B,X} \right)$	1972	Alberto Torchinsky
+	Inequalities for Fourier transforms	1971	Max Jodeit Alberto Torchinsky

Common Coauthors

Coauthor	Papers Together
Wael Abu-Shammala	13
Jonathan Poelhuis	7
Björn Jawerth	6
Jan-Olov Strömberg	6
Calixto P. Calderón	5
Xianliang Shi	2
Jan-Olov Strömberg	2
A. P. Calderón	2
Ji‐Liang Shiu	2
Sagun Chanillo	1
Karl Stromberg	1
Juan Carlos Peral	1
Xian Liang Shi	1
Max Jodeit	1
Jan-Olov Strömberg	1
Xianliang Shi	1
Shilin Wang	1
Ron Kerman	1
Donald Krug	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Hp spaces of several variables	1972	Charles Fefferman E. M. Stein	13
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	8
+ PDF Chat	BMO from dyadic BMO	1982	John B. Garnett Peter W. Jones	8
+	Parabolic maximal functions associated with a distribution, II	1977	A. P. Calderón Alberto Torchinsky	6
+	A pointwise estimate for the local sharp maximal function with applications to singular integrals	2010	Andrei K. Lerner	6
+	Local Sharp Maximal Functions	2014	Björn Jawerth Alberto Torchinsky	6
+ PDF Chat	Estimates for singular integral operators in terms of maximal functions	1972	A. Calderón	6
+	Transition from the dyadic to the real nonperiodic Hardy space.	2000	S. Fridli	5
+	Parabolic maximal functions associated with a distribution	1975	A. P. Calderón Alberto Torchinsky	5
+	Spaces formed by special atoms I	1984	Geraldo Soares de Souza	5
+ PDF Chat	Interpolation of operations and Orlicz classes	1976	Alberto Torchinsky	5
+ PDF Chat	A Simple Proof of the A2 Conjecture	2012	Andrei K. Lerner	5
+ PDF Chat	Interpolation of Quasi-Normed Spaces.	1970	Tord Holmstedt	5
+ PDF Chat	A condition for a two-weight norm inequality for singular integral operators	1991	Nobuhiko Fujii	5
+ PDF Chat	On the atomic decomposition for Hardy spaces	1985	James Wilson	5
+ PDF Chat	Singular integrals and multiplier operators	1971	N. M. Rivière	5
+ PDF Chat	Bounded mean oscillation with Orlicz norms and duality of Hardy spaces	1976	Jan-Olov Strömberg	5
+	Some function spaces defined using the mean oscillation over cubes	1965	Sven Spanne	4
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein	4
+ PDF Chat	On Sufficient Conditions for the Boundedness of the Hardy-Littlewood Maximal Operator between Weighted L<sup>p</sup> -Spaces with Different Weights	1995	Carlos Pérez	4
+	Local sharp maximal functions	1985	Björn Jawerth Alberto Torchinsky	4
+ PDF Chat	A characterization of a two-weight norm inequality for maximal operators	1982	Eric T. Sawyer	4
+	On functions of bounded mean oscillation	1961	Franklin John Louis Nirenberg	4
+	Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces	2001	José Garcı́a-Cuerva Jose Maria-Martell	4
+ PDF Chat	A real variable characterization of $H^{p}$	1974	Ronald R. Coifman	4
+ PDF Chat	A Fractional Muckenhoupt–Wheeden Theorem and its Consequences	2013	David Cruz-Uribe Kabe Moen	4
+ PDF Chat	Medians, continuity, and vanishing oscillation	2012	Jonathan Poelhuis Alberto Torchinsky	4
+ PDF Chat	A weighted norm inequality for singular integrals	1976	Antonio Cordóba Charles Fefferman	4
+ PDF Chat	On the John-Strömberg Characterization of <em>BMO</em> for Nondoubling Measures	2003	Andrei K. Lerner	4
+ PDF Chat	Results on weighted norm inequalities for multipliers	1979	Douglas S. Kurtz Richard L. Wheeden	4
+	Marcinkiewicz integral on hardy spaces	2002	Yong Ding Shanzhen Lu Qingying Xue	4
+ PDF Chat	Distribution function inequalities for the area integral	1972	D. E. Burkholder Richard F. Gundy	3
+ PDF Chat	Morrey spaces in harmonic analysis	2011	David R. Adams Jie Xiao	3
+	Fourier domain rotational anisotropy-second harmonic generation	2018	Baozhu Lu Darius H. Torchinsky	3
+ PDF Chat	Functions of vanishing mean oscillation	1975	Donald Sarason	3
+ PDF Chat	Weighted Norm Inequalities for Singular Integral Operators	1994	Carlos Pérez	3
+ PDF Chat	None	1994	Carlos Pérez	3
+	Distribution Function Inequalities for Singular Integrals	1972	Ronald R. Coifman	3
+ PDF Chat	Weighted Sobolev spaces and pseudodifferential operators with smooth symbols	1982	Nicholas Miller	3
+ PDF Chat	Weighted inequalities for integral operators with some homogeneous kernels	2005	María Silvina Riveros Marta Urciuolo	3
+	Boundedness of Sublinear Operators and Commutators on Generalized Morrey Spaces	2011	Vagif S. Guliyev Seymur S. Aliyev Turhan Karaman Parviz S. Shukurov	3
+	Existence and computation of Riemann-Stieltjes integrals through Riemann integrals	2011	Rodrigo López Pouso	3
+	Weighted Estimates for Singular Integral Operators Satisfying Hörmander’s Conditions of Young Type	2005	María Lorente María Silvina Riveros A. de la Torre	3
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	3
+ PDF Chat	BMO is the intersection of two translates of dyadic BMO	2003	Tao Mei	3
+ PDF Chat	Estimates for translation invariant operators in Lp spaces	1960	Lars Hörmander	3
+	An atomic decomposition of distributions in parabolic Hp spaces	1977	Alberto P. Calderón	3
+	Weighted Norm Inequalities and Related Topics	1985	José Garcı́a-Cuerva J.-L. Rubio de Francia	3
+	Integral operators with variable kernels on weak Hardy spaces	2005	Yong Ding Shanzhen Lu Shuanglin Shao	3
+ PDF Chat	Weighted norm inequalities for maximal functions and singular integrals	1974	Ronald R. Coifman Charles Fefferman	3