Besov and Triebel-Lizorkin spaces related to singular integrals with flag kernels

DOI10.5209/rev_REMA.2009.v22.n1.16358zbMath1166.42013WikidataQ126111943 ScholiaQ126111943MaRDI QIDQ1009467

Da Chun Yang

Publication date: 2 April 2009

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/42337

zbMATH Keywords

Besov spaceliftingdual spaceTriebel-Lizorkin spaceLittlewood-Paley operatorflag singular integralembedding, Calderon reproducing formulaflag fractional integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Characterizations of multiparameter Besov and Triebel-Lizorkin spaces associated with flag singular integrals, Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms, The boundedness of composition operators on Triebel-Lizorkin and Besov spaces with different homogeneities, 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, Boundedness of singular integrals with flag kernels on weighted flag Hardy spaces, Inhomogeneous Lipschitz spaces associated with flag singular integrals and their applications