Maximal and singular integral operators via Fourier transform estimates
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Publication:1060378
DOI10.1007/BF01388746zbMath0568.42012MaRDI QIDQ1060378
Javier Duoandikoetxea, José L. Rubio de Francia
Publication date: 1986
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143351
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Singular integrals and multiplier operators
- A Note on Singular Integrals
- On Singular Integrals
- Weighted Inequalities for Maximal Operators: Linearization, Localization and Factorization
- Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
- The Hilbert Transform and Maximal Function for Approximately Homogeneous Curves
- Hilbert Transforms Associated With Plane Curves
- Differentiation in lacunary directions
- Problems in harmonic analysis related to curvature
- Fourier transforms of surface-carried measures and differentiability of surface averages
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