Characterizations of multiparameter Besov and Triebel-Lizorkin spaces associated with flag singular integrals

DOI10.1155/2012/275791zbMath1255.46017OpenAlexW2078160190WikidataQ58908171 ScholiaQ58908171MaRDI QIDQ442591

Xinfeng Wu, Zong Guang Liu

Publication date: 3 August 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/275791

zbMATH Keywords

flag singular integralsmultiparameter Besov and Triebel-Lizorkin spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms ⋮ Boundedness of composition of operators associated with different homogeneities on weighted Besov and Triebel-Lizorkin spaces ⋮ Weighted norm inequalities for bilinear flag Fourier multipliers ⋮ Weighted norm inequalities for flag singular integrals on homogeneous groups ⋮ Weighted Leibniz-type rules for bilinear flag multipliers ⋮ Relations between product and flag Hardy spaces

Cites Work

• Unnamed Item
• Singular integrals with flag kernels on homogeneous groups, I
• Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals
• Besov and Triebel-Lizorkin spaces related to singular integrals with flag kernels
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
• Composition and L²-boundedness of flag kernels
• Lp-boundedness of flag kernels on homogeneous groups
• Singular integrals with flag kernels and analysis on quadratic CR manifolds

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