L p -L q Boundedness of (k, a)-Fourier Multipliers with Applications to Nonlinear Equations

DOI10.1093/imrn/rnab256OpenAlexW3207236060MaRDI QIDQ5874085

Vishvesh Kumar, Michael Ruzhansky

Publication date: 10 February 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03416

zbMATH Keywords

Paley inequalityHausdorff-Young-Paley inequality\((k,a)\)-generalised Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15)

Related Items (8)

\(L^p\)-\(L^q\) boundedness of Fourier multipliers on fundamental domains of lattices in \(\mathbb{R}^d\) ⋮ Linear canonical deformed Hankel transform and the associated uncertainty principles ⋮ – MULTIPLIERS ON COMMUTATIVE HYPERGROUPS ⋮ Time-frequency analysis of (k,a)-generalized wavelet transform and applications ⋮ Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity ⋮ Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform ⋮ Generalized convolution operator associated with the \((k, a)\)-generalized Fourier transform on the real line and applications ⋮ \(L^p\)-\(L^q\) boundedness of Fourier multipliers associated with the anharmonic oscillator

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