On the norm of the operator $aI+bH$ on $L^p(\mathbb R)$

zbMath1395.42008arXiv1702.04848MaRDI QIDQ4583452

Kai Zhu, Loukas Grafakos, Ding, Yong

Publication date: 30 August 2018

Full work available at URL: https://arxiv.org/abs/1702.04848

zbMATH Keywords

Hilbert transformbest constants

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers in one variable harmonic analysis (42A45) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (1)

Hollenbeck-Verbitsky conjecture on best constant inequalities for analytic and co-analytic projections

Cites Work

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• Corrigendum: best bounds for the Hilbert transform on \(L^p(\mathbb{R}^1)\)
• Best bounds for the Hilbert transform on \(L^ p(\mathbb{R}^ 1)\)
• Best constants for the Riesz projection
• Remarks on the Hilbert transform and on some families of multiplier operators related to it
• Best constants for some operators associated with the Fourier and Hilbert transforms
• Classical Fourier Analysis
• On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
• Sharp \(L^p\) estimates for the segment multiplier

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