Validity of A. N. Kolmogorov's theorem for conjugate functions of several variables

DOI10.1007/BF01137221zbMath0511.42015OpenAlexW1966965564MaRDI QIDQ1838668

L. V. Zhizhiashvili

Publication date: 1983

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01137221

zbMATH Keywords

Hilbert transformconjugate functionKolmogorov inequality

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis in several variables (42B99) Conjugate functions, conjugate series, singular integrals (42A50) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Intégrales singulières
• Estimates for double Hilbert transform
• A note on the Hilbert transform

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