Weighted norm inequalities for flag singular integrals on homogeneous groups

DOI10.11650/tjm.18.2014.3667zbMath1357.43004OpenAlexW1996586525MaRDI QIDQ514672

Xinfeng Wu

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3667

zbMATH Keywords

weighted norm inequalitiesHeisenberg groupsMarcinkiewicz multipliersflag singular integralshomogeneous groups

Mathematics Subject Classification ID

Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (6)

Commutators of multiparameter flag singular integrals and applications ⋮ Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms ⋮ Weighted norm inequalities for bilinear flag Fourier multipliers ⋮ 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

Cites Work

• Characterizations of multiparameter Besov and Triebel-Lizorkin spaces associated with flag singular integrals
• The Melin calculus for general homogeneous groups
• Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals
• Besov and Triebel-Lizorkin spaces related to singular integrals with flag kernels
• Weighted inequalities for vector-valued maximal functions and singular integrals
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Composition and L²-boundedness of flag kernels

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