Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel

Dazhao Chen

Colloquium Mathematicae (2014)

  • Volume: 135, Issue: 2, page 149-170
  • ISSN: 0010-1354

Abstract

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We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.

How to cite

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Dazhao Chen. "Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel." Colloquium Mathematicae 135.2 (2014): 149-170. <http://eudml.org/doc/284200>.

@article{DazhaoChen2014,
abstract = {We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.},
author = {Dazhao Chen},
journal = {Colloquium Mathematicae},
keywords = {sharp maximal function; singular integral operator; commutator; weighted BMO space; weighted Lebesgue spaces; weighted Lipschitz function},
language = {eng},
number = {2},
pages = {149-170},
title = {Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel},
url = {http://eudml.org/doc/284200},
volume = {135},
year = {2014},
}

TY - JOUR
AU - Dazhao Chen
TI - Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel
JO - Colloquium Mathematicae
PY - 2014
VL - 135
IS - 2
SP - 149
EP - 170
AB - We establish weighted sharp maximal function inequalities for a linear operator associated to a singular integral operator with non-smooth kernel. As an application, we obtain the boundedness of a commutator on weighted Lebesgue spaces.
LA - eng
KW - sharp maximal function; singular integral operator; commutator; weighted BMO space; weighted Lebesgue spaces; weighted Lipschitz function
UR - http://eudml.org/doc/284200
ER -

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