On Besov Spaces and Sobolev Spaces of Generalized Functions Defined on a General Region

Tosinobu Muramatu

Type: Article

Publication Date: 1973-08-31

Citations: 68

DOI: https://doi.org/10.2977/prims/1195192564

View Publication

Download PDF

Locations

Publications of the Research Institute for Mathematical Sciences - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc	1983	Peter Oswald
+	Spaces of Besov-Hardy-Sobolev type	1978	Hans Triebel
+	Sobolev and Besov Spaces	2024	Kazuaki Taira
+	On homogeneous Sobolev and Besov spaces on the whole and the half space	2024	Anatole Gaudin
+	Hardy-Sobolev spaces and Besov spaces with a function parameter	1988	Fernando Cobos Dicesar Lass Fernandez
+	Extensions of Functions in Sobolev and Besov Spaces	1979	David William Hutchison
+	On Besov spaces modelled on Zygmund spaces	2016	Fernando Cobos Óscar Domínguez
+	On Generalized Besov and Campanato Spaces	2017	Rahim M. Rzaev Z. Sh. Gakhramanova L. R. Alieva
+ PDF Chat	Besov spaces, Sobolev spaces, and Cauchy integrals.	1992	Patrick Ahern William S. Cohn
+	Besov type function spaces defined on metric-measure spaces	2021	Alireza Ranjbar‐Motlagh
+	Defining Sobolev Spaces and Besov Spaces for Ω	2007
+	On some properties of functions from a Besov–Morrey type spaces	2018	Alik M. Najafov N. R. Rustamova
+	Fractional Besov spaces and Hardy inequalities on bounded non-smooth domains	2024	Jun Cao Yongyang Jin Zhuonan Yu Qishun Zhang
+ PDF Chat	On the Besov-Hankel spaces	1998	Jorge J. Betancor Lourdes Rodrı́guez-Mesa
+	Generalized Spaces of Sobolev Types and Applications	2014	Hatem Mejjaoli
+	Real Interpolation of Generalized Besov-Hardy Spaces and Applications	2010	Alexandre Almeida António M. Caetano
+ PDF Chat	Besov regularity in non-linear generalized functions	2022	Stevan Pilipović Dimitris Scarpalézos Jasson Vindas
+	Homogeneous Sobolev and Besov spaces on half-spaces	2023	Anatole Gaudin
+ PDF Chat	Besov spaces and outer functions.	1998	Konstantin M. Dyakonov
+	On the boundedness of the mapping $f\rightarrow \|f\|$ in Besov spaces	1992	Patrick Oswald

Works That Cite This (68)

Action	Title	Year	Authors
+	Global well-posedness and decay for a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">Q</mml:mi></mml:math> tensor model of incompressible nematic liquid crystals in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>	2018	María E. Schonbek Yoshihiro Shibata
+ PDF Chat	Strong solutions to compressible–incompressible two-phase flows with phase transitions	2020	Keiichi Watanabe
+	宮島静雄：ソボレフ空間の基礎と応用，共立出版，2006年，v + 309ページ．	2009	宮崎洋一
+	Estimates for Pseudo-Differential Operators of Class S0,0	1987	Akihiko Miyachi
+ PDF Chat	Measure Density and Extension of Besov and Triebel–Lizorkin Functions	2015	Toni Heikkinen Lizaveta Ihnatsyeva Heli Tuominen
+ PDF Chat	The Navier–Stokes equations with the Neumann boundary condition in an infinite cylinder	2019	Ken Abe
+	Remarks on potential spaces and Besov spaces in a Lipschitz domain and on Whitney arrays on its boundary	2008	M. S. Agranovich
+	Vector-valued Sobolev Spaces and Gagliardo-Nirenberg Inequalities	2006	Hans‐Jürgen Schmeißer Winfried Sickel
+	L p -L q Estimate of the Stokes Operator and Navier–Stokes Flows in the Exterior of a Rotating Obstacle	2008	Toshiaki Hishida Yoshihiro Shibata
+	Lp-Lq Estimates For Solutions To The Damped Plate Equation In Exterior Domains	1990	Song Jiang

Works Cited by This (24)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	On Elliptic Partial Differential Equations	2011	Louis Nirenberg
+	Fractional powers of operators, interpolation theory and imbedding theorems	1971	Atsushi Yoshikawa H. Komatsu
+	ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES	1961	Sergei M Nikol'skii
+	THEOREMS CONCERNING MEAN VALUES OF ANALYTIC OR HARMONIC FUNCTIONS	1941	G. H. Hardy J. E. Littlewood
+ PDF Chat	Théorie des distributions à valeurs vectorielles. I	1957	Laurent Schwartz
+ PDF Chat	Theory of Bessel potentials. I	1961	N. Aronszajn K. T. Smith
+ PDF Chat	CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS	1962	A. Benedek A. P. Calderón R. Panzone
+	On functions of bounded mean oscillation	1961	Franklin John Louis Nirenberg
+ PDF Chat	Fractional powers of operators	1966	Hikosaburo Komatsu