A short and simple proof of the Jurkat-Waterman theorem on conjugate functions

DOI10.1007/S10688-017-0177-0zbMath1384.42004arXiv1603.04539OpenAlexW3098657541MaRDI QIDQ1676343

V. V. Lebedev

Publication date: 6 November 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04539

zbMATH Keywords

bounded variationsuperposition operatorsFourier seriesconjugate functionsuniformly convergent Fourier series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Conjugate functions, conjugate series, singular integrals (42A50) Functions of bounded variation, generalizations (26A45)

Related Items (1)

Homeomorphic changes of variable and Fourier multipliers

Cites Work

• Banach algebras, logarithms, and polynomials of convolution type
• The Bohr–Pál theorem and the Sobolev space $W_2^{1/2}$
• Conjugate functions and the bohr—pal theorem
• On a theorem of Bohr and Pál
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