Results 211 to 220 of about 1,017 (246)

A HARDY-LITTLEWOOD THEOREM FOR WEIGHTED SPACES

Acta Mathematica Scientia, 1997
Summary: Let \(q\geq 2\). If \(f\) is a measurable function on \(\mathbb{R}^n\) such that \(f(x)|x|^{n(1-2/q)}\in L^q(\mathbb{R}^n)\), then its Fourier transform \(\widehat f\) can be defined and there exists a constant \(A_q\) such that the inequality \(|\widehat f|_q\leq A_q|f|\cdot|^{n(1-2/q)}|_q\) holds. This is the Hardy-Littlewood theorem.
Liu, Jianming, Zheng, Weixing
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The molecular characterization of weighted Hardy spaces

Science in China Series A: Mathematics, 2001
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Li, Xingmin, Peng, Lizhong
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Generalized multiplication operators on weighted hardy spaces

Lobachevskii Journal of Mathematics, 2011
The authors consider operators \(M^d_\theta f= \theta f'\) for functions \(\theta\) and \(f\) holomorphic in \(\Omega\) and call them ``generalized multiplication'' operators. The paper contains some facts about the action of such operators on what the authors idiosyncratically call ``weighted Hardy spaces'' \(H^p(\beta)\) given by holomorphic ...
Sharma, Sunil Kumar, Komal, B. S.
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On Invariant Subspaces in Weighted Hardy Spaces

Ukrainian Mathematical Journal, 2014
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Weighted Composition Operators between Different Hardy Spaces

Integral Equations and Operator Theory, 2003
Let \(H(D)\) be the space of analytic functions \(f:D\to{\mathbb C}\) where \(D\) is the usual open unit disk in \(\mathbb C\). Let \(\varphi\in H(D)\) with \(\varphi(D)\i D\) and \(\psi\in H(D)\) be given. The weighted composition operator \(W_{\varphi,\psi}:H(D)\to H(D)\) is defined by \(f\mapsto\psi\cdot(f\circ\varphi)\).
Contreras, Manuel D., Hernández-Díaz, Alfredo G.   +1 more
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Calderón–Zygmund Operators on Weighted Hardy Spaces

Potential Analysis, 2012
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Weighted variable anisotropic Hardy spaces

Analysis and Mathematical Physics
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Weighted anisotropic local Hardy spaces

Analysis Mathematica
In this paper the author introduces the weighted anisotropic local Hardy spaces via the local nontangential grand maximal function. The author establishes atomic decomposition characterization for the weighted anisotropic local Hardy spaces. Furthermore, the author shows that the weighted anisotropic Campanato type space is the dual space of the ...
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Weighted Hardy–Orlicz-amalgam spaces of martingales

Statistics & Probability Letters
Motivated by the recent development on the Wiener amalgam spaces, in the paper under review, the authors introduce martingale weighted Hardy-Orlicz-amalgam spaces and then establish the atomic decomposition. Finally, the authors find the dual spaces of these martingale weighted Hardy-Orlicz-amalgam spaces.
Yu, Lin, Mi, Xue
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Revisiting weighted tent spaces: Application to predual of weighted Hardy spaces

Illinois Journal of Mathematics
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