Best possible sufficient conditions for the Fourier transform to satisfy the Lipschitz or Zygmund condition

DOI10.4064/sm199-2-5zbMath1210.42008OpenAlexW2041568668MaRDI QIDQ3080023

Ferenc Móricz

Publication date: 4 March 2011

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm199-2-5

zbMATH Keywords

Fourier transformbest possible sufficient conditionsclassical function classes Lip(\(\alpha\))lip(\(\alpha\))Zyg(\(\alpha\)) and zyg(\(\alpha\))

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (4)

Uniform convergence and integrability of multiplicative Fourier transforms ⋮ Dual Boas type results for the quaternion transform and generalized Lipschitz spaces ⋮ Dual Boas-type theorems and weighted integrability results for second Hankel-Clifford transform ⋮ Fourier transforms in generalized Lipschitz classes

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