Weighted norm inequalities for multilinear fractional operators on Morrey spaces

Takeshi Iida; Enji Sato; Yoshihiro Sawano; Hitoshi Tanaka

Studia Mathematica (2011)

  • Volume: 205, Issue: 2, page 139-170
  • ISSN: 0039-3223

Abstract

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A weighted theory describing Morrey boundedness of fractional integral operators and fractional maximal operators is developed. A new class of weights adapted to Morrey spaces is proposed and a passage to the multilinear cases is covered.

How to cite

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Takeshi Iida, et al. "Weighted norm inequalities for multilinear fractional operators on Morrey spaces." Studia Mathematica 205.2 (2011): 139-170. <http://eudml.org/doc/285419>.

@article{TakeshiIida2011,
abstract = {A weighted theory describing Morrey boundedness of fractional integral operators and fractional maximal operators is developed. A new class of weights adapted to Morrey spaces is proposed and a passage to the multilinear cases is covered.},
author = {Takeshi Iida, Enji Sato, Yoshihiro Sawano, Hitoshi Tanaka},
journal = {Studia Mathematica},
keywords = {Morrey space; fractional integral; multilinear fractional integral; Olsen inequality; weight},
language = {eng},
number = {2},
pages = {139-170},
title = {Weighted norm inequalities for multilinear fractional operators on Morrey spaces},
url = {http://eudml.org/doc/285419},
volume = {205},
year = {2011},
}

TY - JOUR
AU - Takeshi Iida
AU - Enji Sato
AU - Yoshihiro Sawano
AU - Hitoshi Tanaka
TI - Weighted norm inequalities for multilinear fractional operators on Morrey spaces
JO - Studia Mathematica
PY - 2011
VL - 205
IS - 2
SP - 139
EP - 170
AB - A weighted theory describing Morrey boundedness of fractional integral operators and fractional maximal operators is developed. A new class of weights adapted to Morrey spaces is proposed and a passage to the multilinear cases is covered.
LA - eng
KW - Morrey space; fractional integral; multilinear fractional integral; Olsen inequality; weight
UR - http://eudml.org/doc/285419
ER -

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