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Weighted variable anisotropic Hardy spaces

Analysis and Mathematical Physics
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The Commutators of Strongly Singular Integral Operators on the Weighted Hardy Spaces

Acta Mathematica Sinica. English series, 2021
Yanying Han, Huo-xiong Wu
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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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The space of Hardy weights for quasilinear operators on discrete graphs

Journal of Differential Equations
We study Hardy inequalities for $p$-Schr\"odinger operators on general weighted graphs. Specifically, we prove a Maz'ya-type result, where we characterize the space of Hardy weights for $ p $-Schr\"odinger operators via a generalized capacity.
Ujjal Das, M. Keller, Y. Pinchover
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Fourier multipliers on power‐weighted Hardy spaces

Mathematische Nachrichten, 2008
AbstractUsing Herz spaces, we obtain a sufficient condition for a bounded measurable function on ℝn to be a Fourier multiplier on Hpα (ℝn ) for 0 < p < 1 and –n < α ≤ 0. Our result is sharp in a certain sense and generalizes a recent result obtained by Baernstein and Sawyer. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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