Results 31 to 40 of about 5,107,062 (367)

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

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

On vector-valued tent spaces and Hardy spaces associated with non-negative self-adjoint operators

, 2015
In this paper we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued tent spaces and Hardy spaces are extended to the endpoint p=1.
Kemppainen, Mikko
core   +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

Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1

Journal of Function Spaces, 2023
We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
doaj   +1 more source

Molecular Characterizations and Dualities of Variable Exponent Hardy Spaces Associated with Operators

, 2015
Let $L$ be a linear operator on $L^2(\mathbb R^n)$ generating an analytic semigroup $\{e^{-tL}\}_{t\ge0}$ with kernels having pointwise upper bounds and $p(\cdot):\ \mathbb R^n\to(0,1]$ be a variable exponent function satisfying the globally log-H\"older
Yang, Dachun, Zhuo, Ciqiang
core   +1 more source

Product Hardy Operators on Hardy Spaces [PDF]

Tokyo Journal of Mathematics, 2015
We study the product Hausdorff operator $H_{\Phi}$ on the product Hardy spaces, and prove that, for a nonnegative valued function $\Phi$, $H_{\Phi}$ is bounded on the product Hardy space $H^{1}(\mathbb{R}\times \mathbb{R})$ if and only if $\Phi$ is a Lebesgue integrable function on $(0,\infty)\times (0,\infty)$.
FAN, Dashan, ZHAO, Fayou
openaire   +2 more sources

Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces

, 2017
For any $p\in(0,\,1]$, let $H^{\Phi_p}(\mathbb{R}^n)$ be the Musielak-Orlicz Hardy space associated with the Musielak-Orlicz growth function $\Phi_p$, defined by setting, for any $x\in\mathbb{R}^n$ and $t\in[0,\,\infty)$, $$ \Phi_{p}(x,\,t):= \begin ...
Cao, Jun, Liu, Liguang, Yang, Dachun, Yuan, Wen   +3 more
core   +1 more source