Results 31 to 40 of about 400,268 (122)

Hardy spaces and unbounded quasidisks

Annales Academiae Scientiarum Fennicae Mathematica, 2011
11 ...
Toshiyuki Sugawa, Yong Chan Kim
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Composition operators on Hardy-Sobolev spaces and $BMO$-quasiconformal mappings [PDF]

arXiv, 2021
In this paper we consider composition operators on Hardy-Sobolev spaces in connections with $BMO$-quasiconformal mappings. Using the duality of Hardy spaces and $BMO$-spaces we prove that $BMO$-quasiconformal mappings generate bounded composition operators from Hardy-Sobolev spaces to Sobolev spaces.
arxiv  

Parameterized Littlewood-Paley operators with variable kernels on Hardy spaces and weak Hardy spaces [PDF]

arXiv, 2017
In this paper, by using the atomic decomposition theory of Hardy space and weak Hardy space, we discuss the boundedness of parameterized Littlewood-Paley operator with variable kernel on these spaces.
arxiv  

On the associated spaces of the Hardy space

, 2023
Characterizations of the associated spaces and second associated spaces of the Hardy space on $\mathbb{R}^n$ are given. Some results on the associated spaces of the $\textrm{BMO}(\mathbb{R}^n)$ space are proved also.
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Weighted local Hardy spaces and their applications [PDF]

arXiv, 2010
In this paper, we study weighted local Hardy spaces $h^p_\wz(\rz)$ associated with local weights which include the classical Muckenhoupt weights. This setting includes the classical local Hardy space theory of Goldberg \cite{g}, and the weighted Hardy spaces of Bui \cite{bu}.
arxiv  

Uniqueness Properties of Hardy Space Functions [PDF]

arXiv, 2016
We study boundary uniqueness properties of Hardy space functions in several complex variables. Along the way, we develop properties of the Lumer Hardy space.
arxiv  

A nonprincipal invariant subspace of the Hardy space on the torus [PDF]

, 1972
Chester Alan Jacewicz
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Sharp Estimates for $p$-Adic Hardy, Hardy-Littlewood-Pólya Operators and Commutators [PDF]

arXiv, 2011
In this paper we get the sharp estimates of the $p$-adic Hardy and Hardy-Littlewood-P\'olya operators on $L^q(|x|^{\alpha}_pdx)$. Also, we prove that the commutators generated by the $p$-adic Hardy operators (Hardy-Littlewood-P\'olya operators) and the central BMO functions are bounded on $L^q(|x|^{\alpha}_pdx)$, more generally, on Herz spaces.
arxiv  

Operator valued Hardy spaces [PDF]

Memoirs of the American Mathematical Society, 2007
We give a systematic study on the Hardy spaces of functions with values in the non-commutative $L^p$-spaces associated with a semifinite von Neumann algebra ${\cal}M.$ This is motivated by the works on matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), and on the other hand, by the recent development on ...
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Multiscale Decompositions of Hardy Spaces

, 2022
An inspiration at the origin of wavelet analysis (when Grossmann, Morlet, Meyer and collaborators were interacting and exploring versions of multiscale representations) was provided by the analysis of holomorphic signals, for which the images of the phase of Cauchy wavelets were remarkable in their ability to reveal intricate singularities or dynamic ...
Coifman, Ronald R., Peyrière, Jacques
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