Multi-Morrey spaces for non-doubling measures

Suixin He

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 4, page 1039-1052
  • ISSN: 0011-4642

Abstract

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The spaces of multi-Morrey type for positive Radon measures satisfying a growth condition on ℝ d are introduced. After defining the spaces, we investigate the multilinear maximal function, the multilinear fractional integral operator and the multilinear Calderón-Zygmund operators, respectively, from multi-Morrey spaces to Morrey spaces.

How to cite

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He, Suixin. "Multi-Morrey spaces for non-doubling measures." Czechoslovak Mathematical Journal 69.4 (2019): 1039-1052. <http://eudml.org/doc/294234>.

@article{He2019,
abstract = {The spaces of multi-Morrey type for positive Radon measures satisfying a growth condition on $\mathbb \{R\}^\{d\}$ are introduced. After defining the spaces, we investigate the multilinear maximal function, the multilinear fractional integral operator and the multilinear Calderón-Zygmund operators, respectively, from multi-Morrey spaces to Morrey spaces.},
author = {He, Suixin},
journal = {Czechoslovak Mathematical Journal},
keywords = {multi-Morrey space; multilinear maximal function; multilinear fractional integral operator; multilinear Calderón-Zygmund operator},
language = {eng},
number = {4},
pages = {1039-1052},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multi-Morrey spaces for non-doubling measures},
url = {http://eudml.org/doc/294234},
volume = {69},
year = {2019},
}

TY - JOUR
AU - He, Suixin
TI - Multi-Morrey spaces for non-doubling measures
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 4
SP - 1039
EP - 1052
AB - The spaces of multi-Morrey type for positive Radon measures satisfying a growth condition on $\mathbb {R}^{d}$ are introduced. After defining the spaces, we investigate the multilinear maximal function, the multilinear fractional integral operator and the multilinear Calderón-Zygmund operators, respectively, from multi-Morrey spaces to Morrey spaces.
LA - eng
KW - multi-Morrey space; multilinear maximal function; multilinear fractional integral operator; multilinear Calderón-Zygmund operator
UR - http://eudml.org/doc/294234
ER -

References

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