Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space

Dazhao Chen

Open Mathematics (2015)

  • Volume: 13, Issue: 1, page 413-426
  • ISSN: 2391-5455

Abstract

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In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved. The general integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

How to cite

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Dazhao Chen. "Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space." Open Mathematics 13.1 (2015): 413-426. <http://eudml.org/doc/275871>.

@article{DazhaoChen2015,
abstract = {In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved. The general integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.},
author = {Dazhao Chen},
journal = {Open Mathematics},
keywords = {Toeplitz type operator; Singular integral operator; Orlicz space; BMO space; Lipschitz function; singular integral operator; fractional integral operator; sharp maximal function; BMO; Morrey space},
language = {eng},
number = {1},
pages = {413-426},
title = {Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space},
url = {http://eudml.org/doc/275871},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Dazhao Chen
TI - Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 413
EP - 426
AB - In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved. The general integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
LA - eng
KW - Toeplitz type operator; Singular integral operator; Orlicz space; BMO space; Lipschitz function; singular integral operator; fractional integral operator; sharp maximal function; BMO; Morrey space
UR - http://eudml.org/doc/275871
ER -

References

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