Composition and L2-boundedness of flag kernels

DOI10.4064/cm118-2-13zbMath1190.22010arXiv1009.3343OpenAlexW1996797853MaRDI QIDQ5306770

Paweł Głowacki

Publication date: 9 April 2010

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3343

zbMATH Keywords

Fourier transformsingular integralsflag kernelssymbolic calculushomogeneous groups

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analysis on real and complex Lie groups (22E30)

Related Items (11)

Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting ⋮ Three-parameter Hardy spaces associated with a sum of two flag singular integrals ⋮ Characterizations of multiparameter Besov and Triebel-Lizorkin spaces associated with flag singular integrals ⋮ Singular integrals with flag kernels on homogeneous groups, I ⋮ Commutators of multiparameter flag singular integrals and applications ⋮ Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms ⋮ An atomic decomposition characterization of flag Hardy spaces \(H^p_F(\mathbb R^n\times\mathbb R^m)\) with applications ⋮ Weighted norm inequalities for bilinear flag Fourier multipliers ⋮ Weighted norm inequalities for flag singular integrals on homogeneous groups ⋮ Relations between product and flag Hardy spaces ⋮ Boundedness of singular integrals with flag kernels on weighted flag Hardy spaces

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