Interpolation of operators in Lebesgue spaces with mixed norm and its applications to Fourier analysis

DOI10.2748/TMJ/1178228457zbMath0696.41001OpenAlexW2043971940MaRDI QIDQ910632

Satoru Igari

Publication date: 1986

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228457

zbMATH Keywords

Fourier transformLebesgue spacesradial functionsholomorphic functionals

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (6)

Strong maximal operator on mixed-norm spaces ⋮ An elementary proof of an estimate for the Kakeya maximal operator on functions of product type ⋮ A remark on the paper ``Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents by Kwok Pun Ho ⋮ Mixed martingale Hardy spaces ⋮ Interpolations of mixed-norm function spaces ⋮ Boundedness of commutators of fractional integral operators on mixed Morrey spaces

Cites Work

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• A note on Bochner-Riesz operators
• A theory of complex interpolation for families of Banach spaces
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• Oscillatory integrals and multiplier problem for the disc
• Estimates for double Hilbert transform
• ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS
• A restriction theorem for the Fourier transform

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