Sharp \(L^p \to L^{q,\infty}\) estimates for the Hilbert transform
DOI10.2969/JMSJ/89668966OpenAlexW4324144779MaRDI QIDQ6199850
Adam Osȩkowski, Tomasz Gałązka
Publication date: 28 February 2024
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/journal-of-the-mathematical-society-of-japan/volume-76/issue-1/Sharp-Lp-to-Lqinfty-estimates-for-the-Hilbert-transform/10.2969/jmsj/89668966.full
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Conjugate functions, conjugate series, singular integrals (42A50)
Cites Work
- Unnamed Item
- Sharp weak-type inequalities for differentially subordinated martingales
- Riesz transforms on compact Lie groups, spheres and Gauss space
- Best weak-type \((p,p)\) constants, \(1\leq p \leq 2\), for orthogonal harmonic functions and martingales
- Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space
- Classical Fourier Analysis
- Sharp inequalities for Riesz transforms
- 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
This page was built for publication: Sharp \(L^p \to L^{q,\infty}\) estimates for the Hilbert transform
