English

Estimates for singular integrals and extrapolation

Classical Analysis and ODEs 2007-05-23 v1
Authors: Shuichi Sato
View on arXiv ↗ PDF ↗

Abstract

We prove a sharp Lp estimate for a singular Radon transform according to a size condition of its kernel, which is useful for extrapolation.

Keywords

radon transform

Cite

@article{arxiv.0704.1537,
  title  = {Estimates for singular integrals and extrapolation},
  author = {Shuichi Sato},
  journal= {arXiv preprint arXiv:0704.1537},
  year   = {2007}
}

Related papers

View all related →
Functional Analysis · Mathematics
On Fractional Integrals Generated by Radon Transforms over Paraboloids
Boris Rubin
2022-08-23
Classical Analysis and ODEs · Mathematics
Estimates for singular integrals on homogeneous groups
Shuichi Sato
2010-11-29
Classical Analysis and ODEs · Mathematics
Estimates for singular integrals along surfaces of revolution
Shuichi Sato
2008-09-22
Classical Analysis and ODEs · Mathematics
Singular and maximal Radon transforms: Analysis and geometry
Michael Christ, Alexander Nagel, Elias M. Stein, Stephen Wainger
2016-09-07
Classical Analysis and ODEs · Mathematics
Square function estimates for discrete Radon transforms
Mariusz Mirek
2018-03-16
Classical Analysis and ODEs · Mathematics
Hyperplane integrability conditions and smoothing for Radon transforms
Michael Greenblatt
2019-10-22
High Energy Physics - Phenomenology · Physics
Extrapolation Algorithms for Infrared Divergent Integrals
Elise de Doncker, Junpei Fujimoto, Nobuyuki Hamaguchi, Tadashi Ishikawa +4
2011-10-18
Classical Analysis and ODEs · Mathematics
L^p(Z^d)-estimates for discrete operators of Radon type: Variational estimates
Mariusz Mirek, Elias M. Stein, Bartosz Trojan
2015-12-24
Analysis of PDEs · Mathematics
Sharp endpoint estimates for the $X$-ray transform and the Radon transform in finite fields
Doowon Koh
2012-10-19
Functional Analysis · Mathematics
Fractional Integrals Associated with Radon Transforms
Boris Rubin
2022-08-22
Classical Analysis and ODEs · Mathematics
Sparse bounds for a prototypical singular Radon transform
Richard Oberlin
2019-08-15
Classical Analysis and ODEs · Mathematics
Oscillation estimates for truncated singular Radon operators
Wojciech Słomian
2022-12-20
Classical Analysis and ODEs · Mathematics
Uniform $L^p$-improving for weighted averages on curves
Betsy Stovall
2017-10-24
Classical Analysis and ODEs · Mathematics
Weighted BMO estimates for singular integrals and endpoint extrapolation in Banach function spaces
Zoe Nieraeth, Guillermo Rey
2024-09-16
Functional Analysis · Mathematics
Singular stochastic integral operators
Emiel Lorist, Mark Veraar
2022-06-14
Classical Analysis and ODEs · Mathematics
$L^p$ Regularity Estimates for a Class of Integral Operators with Fold Blowdown Singularities
Geoffrey Bentsen
2022-08-04
Classical Analysis and ODEs · Mathematics
Sparse bounds for discrete singular Radon transforms
Theresa C. Anderson, Bingyang Hu, Joris Roos
2021-08-02
Classical Analysis and ODEs · Mathematics
A Calder\'on-Zygmund estimate with applications to generalized Radon transforms and Fourier integral operators
Malabika Pramanik, Keith M. Rogers, Andreas Seeger
2012-03-20
Functional Analysis · Mathematics
$L^p$ bounds for singular integrals and maximal singular integrals with rough kernels
Loukas Grafakos, Atanas Stefanov
2016-09-07
Classical Analysis and ODEs · Mathematics
Genuinely multilinear weighted estimates for singular integrals in product spaces
Kangwei Li, Henri Martikainen, Emil Vuorinen
2021-10-07
Classical Analysis and ODEs · Mathematics
Generalized curvature for certain Radon-like operators of intermediate dimension
Philip T. Gressman
2016-09-13
Classical Analysis and ODEs · Mathematics
A note on twisted discrete singular Radon transforms
Lillian B. Pierce
2010-05-26
Classical Analysis and ODEs · Mathematics
Lp-estimates for the variation for singular integrals on uniformly rectifiable sets
Albert Mas, Xavier Tolsa
2016-05-17
Functional Analysis · Mathematics
Irregular sampling and the Radon transform
Isaac Pesenson, Eric Grinberg
2011-08-30
Functional Analysis · Mathematics
Weighted Radon transforms for which the Chang approximate inversion formula is precise
Roman Novikov
2015-05-27