Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures

Osvaldo Gorosito; Gladis Pradolini; Oscar Salinas

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 4, page 1007-1023
  • ISSN: 0011-4642

Abstract

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In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.

How to cite

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Gorosito, Osvaldo, Pradolini, Gladis, and Salinas, Oscar. "Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures." Czechoslovak Mathematical Journal 60.4 (2010): 1007-1023. <http://eudml.org/doc/196362>.

@article{Gorosito2010,
abstract = {In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.},
author = {Gorosito, Osvaldo, Pradolini, Gladis, Salinas, Oscar},
journal = {Czechoslovak Mathematical Journal},
keywords = {variable exponent; weighted spaces; non doubling measures; variable exponent; weighted space; non doubling measures},
language = {eng},
number = {4},
pages = {1007-1023},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures},
url = {http://eudml.org/doc/196362},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Gorosito, Osvaldo
AU - Pradolini, Gladis
AU - Salinas, Oscar
TI - Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 4
SP - 1007
EP - 1023
AB - In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.
LA - eng
KW - variable exponent; weighted spaces; non doubling measures; variable exponent; weighted space; non doubling measures
UR - http://eudml.org/doc/196362
ER -

References

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