Results 311 to 320 of about 4,929,978 (372)

Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces

Forum mathematicum, 2019
In our recent work [W. Ding, G. Lu and Y. Zhu, Multi-parameter local Hardy spaces, Nonlinear Anal. 184 2019, 352–380], the multi-parameter local Hardy space h p ⁢ ( ℝ n 1 × ℝ n 2 ) {h^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} has been introduced ...
Wei Ding, Guozhen Lu, Yue-Ping Zhu
semanticscholar   +1 more source

Sublinear operators on weighted Hardy spaces with variable exponents

Forum mathematicum, 2019
We establish the mapping properties for some sublinear operators on weighted Hardy spaces with variable exponents by using extrapolation. In particular, we study the Calderón–Zygmund operators, the maximal Bochner–Riesz means, the intrinsic square ...
K. Ho
semanticscholar   +1 more source

Hardy space and Bergman space on the Octonions

Approximation Theory and its Applications, 2000
Summary: Square-integrable octonion-valued function spaces on \(\mathbb{R}^3\) and \(\mathbb{R}^7\) are decomposed into the direct sum of octonion Hardy and conjugate Hardy spaces, and square-integrable octonion function spaces on the upper half spaces \(\mathbb{R}^4_+\) and \(\mathbb{R}^8_+\) are decomposed into infinity direct sum of subspaces in ...
Peng, Lizhong, Zhao, Jiman
openaire   +2 more sources

Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Littlewood—Paley Characterizations with Applications to Boundedness of Calderón—Zygmund Operators

Acta Mathematica Sinica. English series, 2022
Xianjie Yan, Zihui He, Dachun Yang, Wen Yuan   +3 more
semanticscholar   +1 more source

Fractional integral operators on Orlicz slice Hardy spaces

Fractional Calculus and Applied Analysis, 2022
K. Ho
semanticscholar   +1 more source

Martingale Orlicz‐Hardy spaces

Mathematische Nachrichten, 2012
AbstractThe purpose of this paper is to introduce five martingale Orlicz‐Hardy spaces and to establish the atomic decomposition theorem. As applications we show the relation among five martingale Orlicz‐Hardy spaces and the duality, namely, the dual of martingale Orlicz‐Hardy spaces are generalized martingale Campanato spaces.
Miyamoto, Takashi, Nakai, Eiichi, Sadasue, Gaku   +2 more
openaire   +2 more sources

Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type

Mathematical methods in the applied sciences, 2018
Let (X,d,μ) be a metric measure space of homogeneous type in the sense of Coifman and Weiss. In this article, the authors prove that bilinear operators, which are finite combinations of compositions of commutators and Calderón‐Zygmund operators, are ...
Liguang Liu, D. Chang, Xing Fu, Dachun Yang   +3 more
semanticscholar   +1 more source

Weighted Subspaces of Hardy Spaces

Canadian Journal of Mathematics, 1988
A function f in Hp on the unit disc U of the complex plane has the uniform growthWe consider in this paper a subspace of Hp with better uniform growthFor the previous results on see [5, 6, 7]. We start with proving an inequality on Hp which is related to the Hardy-Stein identity (Theorem 2.1) in Section 2. This is applied in the subsequent section to
Kim, Hong Oh, Kwon, Ern Geun
openaire   +1 more source

Fourier transform of anisotropic mixed-norm Hardy spaces

Frontiers of Mathematics in China, 2021
Long Huang, D. Chang, Dachun Yang
semanticscholar   +1 more source

Löwner Chains and Hardy Spaces

Bulletin of the London Mathematical Society, 1991
Let a family of univalent functions \(f(z,t):\mathbb{D}\to\mathbb{C}\), \(t\geq 0\), be a Löwner chain satisfying \(\dot f(z,t)=zf'(z,t)p(z,t)\) for \(z\) in the unit disc \(\mathbb{D}\), a.e. \(t\geq 0\), where \(p(z,t)\) is analytic for \(z\in\mathbb{D}\) and measurable for \(t\geq 0\) with \({\mathfrak R}[p(z,t)]\geq 0\). The symbols \(\dot f(z,t)\)
openaire   +2 more sources