Results 21 to 30 of about 4,859,609 (359)

Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces

Journal of Function Spaces, 2020
In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional
Zequn Wang, Mingquan Wei, Qianjun He, Dunyan Yan   +3 more
doaj   +1 more source

A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator

Journal of Function Spaces, 2020
This paper is devoted in characterizing the central BMO ℝn space via the commutator of the fractional Hardy operator with rough kernel. Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol ...
Lei Zhang, Shaoguang Shi
doaj   +1 more source

Some Inequalities of Hardy Type Related to Witten–Laplace Operator on Smooth Metric Measure Spaces

Mathematics, 2022
A complete Riemannian manifold equipped with some potential function and an invariant conformal measure is referred to as a complete smooth metric measure space.
Yanlin Li, Abimbola Abolarinwa, Ali H. Alkhaldi, Akram Ali   +3 more
doaj   +1 more source

Molecular Characterization of Hardy Spaces Associated with Twisted Convolution

Journal of Function Spaces, 2014
We give a molecular characterization of the Hardy space associated with twisted convolution. As an application, we prove the boundedness of the local Riesz transform on the Hardy space.
Jizheng Huang, Yu Liu
doaj   +1 more source

Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group

Abstract and Applied Analysis, 2013
We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group.
Oleh Lopushansky
doaj   +1 more source

Herz-Type Hardy Spaces Associated with Operators

Journal of Function Spaces, 2018
Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
doaj   +1 more source

The Hardy Space $$H^1$$H1 in the Rational Dunkl Setting [PDF]

, 2013
This paper is perhaps the first attempt at a study of the Hardy space $$H^1$$H1 in the rational Dunkl setting. Following Uchiyama’s approach, we characterize $$H^1$$H1 atomically and by means of the heat maximal operator.
Jean-Philippe Anker, N. Ben Salem, Jacek Dziubański, Nabila Hamda   +3 more
semanticscholar   +1 more source

The coefficient multipliers on $ H^2 $ and $ \mathcal{D}^2 $ with Hyers–Ulam stability

AIMS Mathematics
In this paper, we investigated the Hyers–Ulam stability of the coefficient multipliers on the Hardy space $ H^2 $ and the Dirichlet space $ \mathcal{D}^2 $.
Chun Wang
doaj   +1 more source

Martingale Morrey-Hardy and Campanato-Hardy Spaces [PDF]

Journal of Function Spaces and Applications, 2013
We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burkholder-type equivalence.
Eiichi Nakai, Gaku Sadasue, Yoshihiro Sawano   +2 more
openaire   +3 more sources

Geometric Hardy and Hardy–Sobolev inequalities on Heisenberg groups

Bulletin of Mathematical Sciences, 2020
In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group with a sharp constant: ∫ℍ ...
Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan   +2 more
doaj   +1 more source