A sharp estimate for the weighted Hilbert transform via Bellman functions.
From MaRDI portal
Publication:1396301
DOI10.1307/mmj/1022636751zbMath1040.42008OpenAlexW2001410820MaRDI QIDQ1396301
Janine Wittwer, Stefanie Petermichl
Publication date: 30 June 2003
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1307/mmj/1022636751
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Linear operators on function spaces (general) (47B38) Conjugate functions, conjugate series, singular integrals (42A50)
Related Items
On some sharp weighted norm inequalities, A linear dimensionless bound for the weighted Riesz vector, Sharp estimates for Lipschitz class, Efficient tensor tomography in Fan-beam coordinates, Haar multipliers meet Bellman functions, WEIGHTED INEQUALITIES FOR MARTINGALE TRANSFORMS AND STOCHASTIC INTEGRALS, Survey article: A user's guide to Bellman functions, Bilinear embedding for real elliptic differential operators in divergence form with potentials, A weighted estimate for the square function on the unit ball in \(\mathbb C^n\), Bellman functions and MRA wavelets, A matrix weighted bilinear Carleson lemma and maximal function, The sharp weighted bound for the Riesz transforms, Failure of the matrix weighted bilinear Carleson embedding theorem, Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular, Weighted 𝐿² inequalities for square functions
