# The fractional maximal operator and fractional integrals on variable ${L}^{p}$ spaces.

C. Capone; D. SFO Cruz-Uribe; A. Fiorenza

Revista Matemática Iberoamericana (2007)

- Volume: 23, Issue: 3, page 743-770
- ISSN: 0213-2230

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topCapone, C., Cruz-Uribe, D. SFO, and Fiorenza, A.. "The fractional maximal operator and fractional integrals on variable $L^p$ spaces.." Revista Matemática Iberoamericana 23.3 (2007): 743-770. <http://eudml.org/doc/43612>.

@article{Capone2007,

author = {Capone, C., Cruz-Uribe, D. SFO, Fiorenza, A.},

journal = {Revista Matemática Iberoamericana},

keywords = {fractional maximal operator; fractional integral operator; Sobolev embedding theorem; variable Lebesgue space},

language = {eng},

number = {3},

pages = {743-770},

title = {The fractional maximal operator and fractional integrals on variable $L^p$ spaces.},

url = {http://eudml.org/doc/43612},

volume = {23},

year = {2007},

}

TY - JOUR

AU - Capone, C.

AU - Cruz-Uribe, D. SFO

AU - Fiorenza, A.

TI - The fractional maximal operator and fractional integrals on variable $L^p$ spaces.

JO - Revista Matemática Iberoamericana

PY - 2007

VL - 23

IS - 3

SP - 743

EP - 770

LA - eng

KW - fractional maximal operator; fractional integral operator; Sobolev embedding theorem; variable Lebesgue space

UR - http://eudml.org/doc/43612

ER -

## Citations in EuDML Documents

top- Hongbin Wang, Commutators of Marcinkiewicz integrals on Herz spaces with variable exponent
- Osvaldo Gorosito, Gladis Pradolini, Oscar Salinas, Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures
- Pu Zhang, Jianglong Wu, Commutators of the fractional maximal function on variable exponent Lebesgue spaces

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