Results 61 to 70 of about 405,847 (173)

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

Lumer's Hardy spaces. [PDF]

, 1977
Walter Rudin
openalex   +1 more source

Poletsky-Stessin Hardy Spaces on Complex Ellipsoids in C^n [PDF]

arXiv, 2014
We study Poletsky-Stessin Hardy spaces on complex ellipsoids in C^n. Different from one variable case, classical Hardy spaces are strictly contained in Poletsky-Stessin Hardy spaces on complex ellipsoids so boundary values are not automatically obtained in this case. We have showed that functions belonging to Poletsky-Stessin Hardy spaces have boundary
arxiv  

The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces

Journal of Function Spaces, 2014
The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the
Takeshi Iida
doaj   +1 more source

Hardy type spaces estimates for multilinear fractional integral operators [PDF]

arXiv
In this paper, we prove the boundedness of multilinear fractional integral operators from products of Hardy spaces associated with ball quasi-Banach function spaces into their corresponding ball quasi-Banach function spaces. As applications, we establish the boundedness of these operators on various function spaces, including weighted Hardy spaces ...
arxiv  

Poletsky-Stessin Hardy Spaces on Domains Bounded by An Analytic Jordan Curve in $\mathbb{C}$ [PDF]

arXiv, 2013
We study Poletsky-Stessin Hardy spaces that are generated by continuous, subharmonic exhaustion functions on a domain $\Omega\subset\mathbb{C}$, that is bounded by an analytic Jordan curve. Different from Poletsky & Stessin's work these exhaustion functions are not necessarily harmonic outside of a compact set but have finite Monge-Amp\'ere mass.
arxiv  

Weighted Weak Local Hardy Spaces Associated with Schrödinger Operators

Journal of Function Spaces, 2015
We characterize the weighted weak local Hardy spaces Whρp(ω) related to the critical radius function ρ and weights ω∈A∞ρ,∞(Rn) which locally behave as Muckenhoupt’s weights and actually include them, by the atomic decomposition.
Hua Zhu
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On the distribution of values of functions in some function classes in the abstract Hardy space theory [PDF]

, 1973
Kôzô Yabuta
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Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz'ya type inequalities [PDF]

arXiv, 2016
We prove a trace Hardy type inequality with the best constant on the polyhedral convex cones which generalizes recent results of Alvino et al. and of Tzirakis on the upper half space. We also prove some trace Hardy-Sobolev-Maz'ya type inequalities which generalize the recent results of Filippas et al..
arxiv  

Duality for symmetric Hardy spaces of noncommutative martingales [PDF]

arXiv, 2015
We show the dual spaces of conditional Hardy space and symmetric Hardy space of noncommutative martingales. We derive relationship between the symmetric Hardy space of noncommutative martingales and its conditioned version.
arxiv