Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrödinger setting

DOI10.1016/j.jmaa.2019.123731zbMath1431.42037arXiv1908.11241OpenAlexW2989931538MaRDI QIDQ2287336

Junqiang Zhang, Da Chun Yang

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11241

zbMATH Keywords

Schrödinger operatorLittlewood-Paley functionMuckenhoupt weightquantitative boundedness

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items

Hermite Besov and Triebel–Lizorkin spaces and applications ⋮ Weighted estimates for square functions associated with operators ⋮ Quantitative weighted bounds for Littlewood-Paley functions generated by fractional heat semigroups related with Schrödinger operators ⋮ Generalized Schrödinger operators on the Heisenberg group and Hardy spaces ⋮ Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials ⋮ Quantitative weighted bounds for variation operators associated with heat semigroups in the Schrödinger setting ⋮ Quantitative estimates for square functions with new class of weights ⋮ Intrinsic Square Function Characterizations of Several Hardy--Type Spaces--a Survey

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