Pointwise multipliers for inhomogeneous multi-parameter Besov and Triebel-Lizorkin spaces associated with mixed homogeneities

DOI10.1016/j.trmi.2017.11.002zbMath1390.42015OpenAlexW2773969677MaRDI QIDQ1749331

Jian Tan

Publication date: 16 May 2018

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2017.11.002

zbMATH Keywords

pointwise multipliersalmost orthogonal estimateBesov and Triebel-Lizorkin spacesmixed homogeneities

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15)

Related Items (1)

Inhomogeneous multi-parameter Besov and Triebel-Lizorkin spaces associated with different homogeneities and boundedness of composition operators

Cites Work

• Boundedness of composition operators associated with mixed homogeneities on Lipschitz spaces
• A discrete transform and decompositions of distribution spaces
• Pointwise multipliers for functions of bounded mean oscillation
• Multipliers of the Hölder classes
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• Pointwise multipliers on spaces of homogeneous type in the sense of coifman and Weiss
• Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers.
• Hardy spaces associated with different homogeneities and boundedness of composition operators
• Boundedness of composition of operators associated with different homogeneities on weighted Besov and Triebel-Lizorkin spaces
• Non-smooth atoms and pointwise multipliers in function spaces
• Pseudodifferential operators of mixed type adapted to distributions of \(k\)-planes
• Weighted Carleson Measure Spaces Associated with Different Homogeneities
• Some Further Classes of Pseudo-Differential and Singular-Integral Operators Arising in Boundary-Value Problems I Composition of Operators
• Pointwise Multipliers of Weighted BMO Spaces
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