Inequalities for the truncated Hilbert transform and the segment multiplier

DOI10.1007/s13348-013-0086-3zbMath1305.42012OpenAlexW2068880287WikidataQ59398754 ScholiaQ59398754MaRDI QIDQ486325

Adam Osȩkowski

Publication date: 15 January 2015

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

Full work available at URL: https://doi.org/10.1007/s13348-013-0086-3

zbMATH Keywords

truncated Hilbert transform\(L\log L\) inequalitiessegment multiplier

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Sharp logarithmic inequalities for Riesz transforms
• Logarithmic estimates for the Hilbert transform and the Riesz projection
• Best constants for the Riesz projection
• Sharp \(L\log^\alpha L\) inequalities for conjugate functions
• A superharmonic proof of the M. Riesz conjugate function theorem
• Classical Fourier Analysis
• Sharp norm inequalities for the truncated Hilbert transform
• A Best Constant for Zygmund's Conjugate Function Inequality
• On the (p,p) norm of monotonic Fourier multipliers
• On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
• On the Weak Type (1, 1) Inequality for Conjugate Functions
• The Hilbert transform and rearrangement of functions
• Sharp \(L^p\) estimates for the segment multiplier

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