Sharp and weighted inequalities for multilinear integral operators.

Liu Lanzhe

RACSAM (2007)

  • Volume: 101, Issue: 1, page 99-111
  • ISSN: 1578-7303

Abstract

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In this paper, we prove some weighted inequalities for the multilinear operators related to certain integral operators on the generalized Morrey spaces by using the sharp estimates of the multilinear operators. The operators include Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

How to cite

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Lanzhe, Liu. "Sharp and weighted inequalities for multilinear integral operators.." RACSAM 101.1 (2007): 99-111. <http://eudml.org/doc/41667>.

@article{Lanzhe2007,
abstract = {In this paper, we prove some weighted inequalities for the multilinear operators related to certain integral operators on the generalized Morrey spaces by using the sharp estimates of the multilinear operators. The operators include Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.},
author = {Lanzhe, Liu},
journal = {RACSAM},
keywords = {multilinear operator; Hardy-Littlewood maximal operator; Morrey space},
language = {eng},
number = {1},
pages = {99-111},
title = {Sharp and weighted inequalities for multilinear integral operators.},
url = {http://eudml.org/doc/41667},
volume = {101},
year = {2007},
}

TY - JOUR
AU - Lanzhe, Liu
TI - Sharp and weighted inequalities for multilinear integral operators.
JO - RACSAM
PY - 2007
VL - 101
IS - 1
SP - 99
EP - 111
AB - In this paper, we prove some weighted inequalities for the multilinear operators related to certain integral operators on the generalized Morrey spaces by using the sharp estimates of the multilinear operators. The operators include Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
LA - eng
KW - multilinear operator; Hardy-Littlewood maximal operator; Morrey space
UR - http://eudml.org/doc/41667
ER -

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