Potential operators and their commutators acting between variable Lebesgue spaces with different weights
| Autor: | Gladis Pradolini, Luciana Melchiori |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Matemáticas Applied Mathematics WEIGHTS 010102 general mathematics COMMUTATORS POTENTIAL OPERATORS Type (model theory) 01 natural sciences Matemática Pura 010101 applied mathematics VARIABLE LEBESGUE SPACES Operator (computer programming) 0101 mathematics 42B25 Lp space CIENCIAS NATURALES Y EXACTAS Analysis Variable (mathematics) Mathematics |
| Zdroj: | Integral Transforms and Special Functions. 29:909-926 |
| ISSN: | 1476-8291 1065-2469 |
| DOI: | 10.1080/10652469.2018.1519807 |
| Popis: | We prove that a generalized Fefferman–Phong type conditions on a pair of weights u and v is sufficient for the boundedness of the potential type operator from Lv p(.) into Lu q(.). We also obtain an analogous estimates for their commutators with BMO symbols. We include some estimates for a generalized maximal operator in the variable context Ms(·), and its fractional version, Mβ(·),s(·), between variable versions of L log L type spaces, where S(·) and Mβ(·) are exponents belonging to certain classes. Fil: Melchiori, Luciana. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina Fil: Pradolini, Gladis Guadalupe. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina |
| Databáze: | OpenAIRE |
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