Estimates for singular integrals and extrapolation
Studia Mathematica (2009)
- Volume: 192, Issue: 3, page 219-233
- ISSN: 0039-3223
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topShuichi Sato. "Estimates for singular integrals and extrapolation." Studia Mathematica 192.3 (2009): 219-233. <http://eudml.org/doc/284759>.
@article{ShuichiSato2009,
abstract = {We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove $L^\{p\}$ boundedness of the singular integrals under a certain sharp size condition on their kernels.},
author = {Shuichi Sato},
journal = {Studia Mathematica},
keywords = {singular integrals; singular Radon transforms; maximal operators; boundedness; rough kernel; extrapolation},
language = {eng},
number = {3},
pages = {219-233},
title = {Estimates for singular integrals and extrapolation},
url = {http://eudml.org/doc/284759},
volume = {192},
year = {2009},
}
TY - JOUR
AU - Shuichi Sato
TI - Estimates for singular integrals and extrapolation
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 3
SP - 219
EP - 233
AB - We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove $L^{p}$ boundedness of the singular integrals under a certain sharp size condition on their kernels.
LA - eng
KW - singular integrals; singular Radon transforms; maximal operators; boundedness; rough kernel; extrapolation
UR - http://eudml.org/doc/284759
ER -
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