Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels

Liu Lanzhe

Archivum Mathematicum (2014)

  • Volume: 050, Issue: 2, page 77-96
  • ISSN: 0044-8753

Abstract

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In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are proved. The 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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Lanzhe, Liu. "Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels." Archivum Mathematicum 050.2 (2014): 77-96. <http://eudml.org/doc/261126>.

@article{Lanzhe2014,
abstract = {In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are proved. The integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.},
author = {Lanzhe, Liu},
journal = {Archivum Mathematicum},
keywords = {multilinear operator; singular integral operator; BMO space; Orlicz space; Littlewood-Paley operator; Marcinkiewicz operator; Bochner-Riesz operator; multilinear operator; singular integral operator; BMO space; Orlicz space; Littlewood-Paley operator; Marcinkiewicz operator; Bochner-Riesz operator},
language = {eng},
number = {2},
pages = {77-96},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels},
url = {http://eudml.org/doc/261126},
volume = {050},
year = {2014},
}

TY - JOUR
AU - Lanzhe, Liu
TI - Mean Oscillation and Boundedness of Multilinear Integral Operators with General Kernels
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 2
SP - 77
EP - 96
AB - In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are proved. The integral operators include singular integral operator with general kernel, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
LA - eng
KW - multilinear operator; singular integral operator; BMO space; Orlicz space; Littlewood-Paley operator; Marcinkiewicz operator; Bochner-Riesz operator; multilinear operator; singular integral operator; BMO space; Orlicz space; Littlewood-Paley operator; Marcinkiewicz operator; Bochner-Riesz operator
UR - http://eudml.org/doc/261126
ER -

References

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