Boundedness of iterated spherical average on modulation spaces

DOI10.1016/j.na.2020.111968zbMath1448.42031arXiv1901.04833OpenAlexW3026048086MaRDI QIDQ2199968

Qiang Huang, Xiaomei Wu

Publication date: 14 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods, Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04833

zbMATH Keywords

Bessel functionsmodulation spacesspherical average\( \alpha \)-modulation spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (1)

Boundedness of iterated spherical average on modulation spaces

Cites Work

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• Sharpness of complex interpolation on \(\alpha \)-modulation spaces
• Critical exponent for evolution equations in modulation spaces
• \(\alpha\)-modulation spaces. I. Scaling, embedding and algebraic properties
• Characterization of inclusion relations between Wiener amalgam and some classical spaces
• Asymptotic estimates for unimodular Fourier multipliers on modulation spaces
• The global Cauchy problem for the NLS and NLKG with small rough data
• Unimodular Fourier multipliers for modulation spaces
• Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data in modulation and Sobolev spaces
• Boundedness for pseudodifferential operators on multivariate \(\alpha \)-modulation spaces
• \(L^p\) estimates for the waves equation
• Multivariate approximating averages.
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Boundedness of iterated spherical average on modulation spaces
• Approximation properties of combination of multivariate averages on Hardy spaces
• A note on iterated spherical average on Lebesgue spaces
• Fractional integral operators on α-modulation spaces
• Changes of variables in modulation and Wiener amalgam spaces
• Estimates for unimodular Fourier multipliers on modulation spaces
• Maximal functions: Spherical means
• Modulation Spaces and Nonlinear Evolution Equations
• Densities of short uniform random walks in higher dimensions

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