Duals of homogeneous weighted sequence Besov spaces and applications

DOI10.1515/jaa.2011.012zbMath1276.42021OpenAlexW2031769473MaRDI QIDQ2865586

Kunchuan Wang, Po-Kai Huang

Publication date: 2 December 2013

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

Full work available at URL: https://doi.org/10.1515/jaa.2011.012

zbMATH Keywords

dualsequence spaceweightdiagonalalmost diagonalparaproduct operatordouble exponentFourier-Haar multiplier

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35)

Cites Work

• A discrete transform and decompositions of distribution spaces
• Une classe d'espaces fonctionnels de type BMO. Application aux intégrales singulières. (A class of functional spaces of BMO type. Application to singular integrals)
• The generalization of paraproducts and the full T1 theorem for Sobolev and Triebel-Lizorkin spaces
• Regularity properties of commutators and \(BMO\)-Triebel-Lizorkin spaces
• Triebel-Lizorkin spaces of para-accretive type and a \(Tb\) theorem
• Duality and interpolation of anisotropic Triebel-Lizorkin spaces
• Atomic and molecular decompositions of anisotropic Besov spaces
• Matrix-weighted Besov spaces
• The Full T1 Theorem for Certain Triebel - Lizorkin Spaces
• The Bellman functions and two-weight inequalities for Haar multipliers
• Matrix $A_p$ weights via $S$-functions
• Duality of matrix-weighted Besov spaces
• Matrix-weighted Besov spaces and conditions of A_p type for 0 less than p \leq 1

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