Best bounds for the Hilbert transform on \(L^ p(\mathbb{R}^ 1)\)

DOI10.4310/MRL.1997.v4.n4.a3zbMath0883.42007OpenAlexW2335044279MaRDI QIDQ1372884

Loukas Grafakos

Publication date: 4 November 1997

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1997.v4.n4.a3

zbMATH Keywords

Hilbert transformsubharmonic function\(L^ p\) spaces

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (10)

Note on norm of an \(m\)-linear integral-type operator between weighted-type spaces ⋮ Bellman functions and dimension free \(L^p\)-estimates for the Riesz transforms in Bessel settings ⋮ Norm of a multilinear integral operator from product of weighted‐type spaces to weighted‐type space ⋮ Hollenbeck-Verbitsky conjecture on best constant inequalities for analytic and co-analytic projections ⋮ Best constants in inequalities involving analytic and co-analytic projections and Riesz's theorem in various function spaces ⋮ Hilbert transforms and the equidistribution of zeros of polynomials ⋮ On the norm of the operator $aI+bH$ on $L^p(\mathbb R)$ ⋮ Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space ⋮ On Riesz type inequalities for harmonic mappings on the unit disk ⋮ Best constants for the Riesz projection

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