Results 81 to 90 of about 3,996 (166)
The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application
, 2016 The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents is given. As its application, the boundedness of a convolution type singular integral on HerzMorrey-Hardy spaces with variable exponents is obtained.
Jingshi Xu, Xiaodi Yang
semanticscholar +1 more source
A Note on Div-Curl Lemma [PDF]
, 2007 2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and $$div(u^−v^→) ∈ H^1(R^d)$$ which include
Gala, Sadek
core
A Note on Reproducing Kernels for Sobolev Spaces [PDF]
arXiv, 2023 In this note, we compute the reproducing kernel for the RKHS of functions on $\mathbb{R}^n$ in a sufficiently high Sobolev norm.
arxiv
Nonlocal and mixed models with Lavrentiev Gap [PDF]
arXiv, 2023 We present a general framework for constructing examples on Lavrentiev energy gap for nonlocal problems and apply it to several nonlocal and mixed models of double-phase type.
arxiv
Sobolev's inequalities for Herz-Morrey-Orlicz spaces on the half space
, 2018 We introduce Herz-Morrey-Orlicz spaces on the half space, and study the boundedness of the Hardy-Littlewood maximal operator. As an application, we establish Sobolev’s inequality for Riesz potentials of functions in such spaces, which is one of mixed ...
Y. Mizuta, T. Ohno, T. Shimomura
semanticscholar +1 more source
A real variable characterization of Gromov hyperbolicity of flute surfaces [PDF]
, 2008 23 pages, 1 figure.-- MSC2000 codes: 41A10, 46E35, 46G10.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0093Previously presented as Communication at International Congress of Mathematicians 2006 (ICM2006, Madrid, Spain, Aug 22-30, 2006 ...
Portilla, Ana +2 more
core +2 more sources
The fractional Hardy inequality with a remainder term
, 2009 We calculate the regional fractional Laplacian on some power function on an interval. As an application, we prove Hardy inequality with an extra term for the fractional Laplacian on the interval with the optimal constant.
Dyda, Bartłomiej
core +1 more source
Clifford Analysis on Orlicz-Sobolev Spaces [PDF]
arXiv, 2014 In this article we develop few of the analogous theoretical results of Clifford analysis over Orlicz-Sobolev spaces and study mapping properties of the Dirac operator and the Teodorescu transform over these function spaces. We also get analogous decomposition results of Clifford valued Orlicz spaces and the generalized Orlicz-Sobolev spaces.
arxiv
Embeddings properties on Herz-type Besov and Triebel-Lizorkin spaces
, 2013 We study the embeddings problems on Herz-type Besov-Triebel-Lizorkin spaces. In particular we will give a proof of the Sobolev-type embedding for these function spaces.
D. Drihem
semanticscholar +1 more source
Embedding generalized Wiener classes into Lipschitz spaces
Mathematical Inequalities & Applications, 2019 In this note, we give a necessary and sufficient condition for embedding the classes ΛBV(pn↑p) into the generalized Lipschitz spaces Hω q (1 q < p ∞ ). Mathematics subject classification (2010): 46E35, 46E30.
M. M. Goodarzi +2 more
semanticscholar +1 more source