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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029947_v289_n2_p575_Gatto |
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todo:paper_00029947_v289_n2_p575_Gatto2023-10-03T13:55:21Z Fractional integrals on weighted hpspaces Gatto 2, A.E. Gutierrez, C.E. Wheeden, R.L. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029947_v289_n2_p575_Gatto |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Gatto 2, A.E. Gutierrez, C.E. Wheeden, R.L. |
| spellingShingle |
Gatto 2, A.E. Gutierrez, C.E. Wheeden, R.L. Fractional integrals on weighted hpspaces |
| author_facet |
Gatto 2, A.E. Gutierrez, C.E. Wheeden, R.L. |
| author_sort |
Gatto 2, A.E. |
| title |
Fractional integrals on weighted hpspaces |
| title_short |
Fractional integrals on weighted hpspaces |
| title_full |
Fractional integrals on weighted hpspaces |
| title_fullStr |
Fractional integrals on weighted hpspaces |
| title_full_unstemmed |
Fractional integrals on weighted hpspaces |
| title_sort |
fractional integrals on weighted hpspaces |
| url |
http://hdl.handle.net/20.500.12110/paper_00029947_v289_n2_p575_Gatto |
| work_keys_str_mv |
AT gatto2ae fractionalintegralsonweightedhpspaces AT gutierrezce fractionalintegralsonweightedhpspaces AT wheedenrl fractionalintegralsonweightedhpspaces |
| _version_ |
1807324104472133632 |