Schatten classes and commutator in the two weight setting. I: Hilbert transform

DOI10.1007/s11118-023-10072-xarXiv2202.11854OpenAlexW4362667977MaRDI QIDQ6201833

Brett D. Wick, Michael T. Lacey, Ji Li

Publication date: 21 February 2024

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.11854

zbMATH Keywords

Hilbert transformcommutatorSchatten classweighted Besov spacedyadic structure

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic analysis on homogeneous spaces (43A85) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Cites Work

• Unnamed Item
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• Analytic formulas for the topological degree of non-smooth mappings: The odd-dimensional case
• Dyadic structure theorems for multiparameter function spaces
• Nearly weakly orthonormal sequences, singular value estimates, and Calderon-Zygmund operators
• A decomposition theorem for BMO and applications
• On the Hausdorff-Young theorem for integral operators
• Schatten classes and commutators of singular integral operators
• Compactness of commutator of Riesz transforms in the two weight setting
• Schur multipliers of Schatten-von Neumann classes \(\boldsymbol{S}_p\)
• A Commutator Theorem and Weighted BMO
• Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
• Modern Fourier Analysis

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