Fractional integrals on weighted hpspaces
We characterize the pairs of doubling weights (u, v) on Rnsuch that (Formula Presented), where Ia, a > 0, is the fractional integral operator. We also consider the behavior of an associated maximal function. Applications of the results to Sobolev inequalities in weighted Lpspaces are given. ©...
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1985
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v289_n2_p575_Gatto http://hdl.handle.net/20.500.12110/paper_00029947_v289_n2_p575_Gatto |
| Aporte de: |
| Sumario: | We characterize the pairs of doubling weights (u, v) on Rnsuch that (Formula Presented), where Ia, a > 0, is the fractional integral operator. We also consider the behavior of an associated maximal function. Applications of the results to Sobolev inequalities in weighted Lpspaces are given. © 1985 American Mathematical Society. |
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