Biparameter BMO under the action of a rotation

DOI10.1016/j.jfa.2021.109159zbMath1469.30114arXiv2010.08448OpenAlexW3173279983MaRDI QIDQ2042716

Frédéric Bernicot, Yujia Zhai

Publication date: 21 July 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08448

zbMATH Keywords

Sobolev spacesBMO spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) BMO-spaces (30H35)

Cites Work

• Dyadic structure theorems for multiparameter function spaces
• Calderón-Zygmund operators on product spaces
• Harmonic analysis on product spaces
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• A geometric proof of the strong maximal theorem
• Carleson measure on the bi-disc
• BMO is the intersection of two translates of dyadic BMO
• Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures
• Weighted little BMO and two-weight inequalities for Journé commutators
• A characterization of product BMO by commutators.
• Sharp constants for composition with a bi-Lipschitz measure-preserving map
• Higher order Journé commutators and characterizations of multi-parameter BMO
• Analysis in Banach Spaces
• On the global well-posedness of the 2D Euler equations for a large class of Yudovich type data
• Interpolation between Hardy spaces on the bidisc
• Classical Fourier Analysis
• A Covering Lemma for Product Spaces
• Classical and Multilinear Harmonic Analysis

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