Artículo
Gatto 2, A.E.; Gutierrez, C.E.; Wheeden, R.L. "Fractional integrals on weighted hpspaces" (1985) Transactions of the American Mathematical Society. 289(2):575-589
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Fractional integrals on weighted hpspaces |
| Autor: | Gatto 2, A.E.; Gutierrez, C.E.; Wheeden, R.L. |
| Filiación: | Department of Mathematics, Rutgers University, New Brunswick, NJ, 08903, United States Departa- mento de Matemåtica, Universidad de Buenos Aires, Ciudad Universitaria, Pab 1, Buenos Aires, 1428, Argentina |
| Año: | 1985 |
| Volumen: | 289 |
| Número: | 2 |
| Página de inicio: | 575 |
| Página de fin: | 589 |
| DOI: | http://dx.doi.org/10.1090/S0002-9947-1985-0784004-1 |
| Título revista: | Transactions of the American Mathematical Society |
| Título revista abreviado: | Trans. Am. Math. Soc. |
| ISSN: | 00029947 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v289_n2_p575_Gatto |
Referencias:
- Adams, E., On weighted norm mequaUties for the Riesz transforms of functions with vanishing moments Studia Math, , to appear
- Adams, E., On the identification of weighted Hardy spaces (1983) Indiana Univ. Math. J, 32, pp. 477-489
- Caffarelli, L., Kohn, R., Nirenberg, L., First order interpolation meqtwlities with weights (1984) Com- Positio Math, 53, pp. 259-275
- Calderón, A.P., Zygmund, A., Local properties of solutions of elliptic partial differential equations (1961) Studiamath, 20, pp. 171-225
- Fefferman, C.L., Stein, E.M., Some nrumrnal inequalities (1971) Amer. J. Math, 93, pp. 107-115
- Gel'fand, I.M., Shilov, G.E., (1968) Generalized Functions, , Academic Press, New York
- Hedberg, L.I., On certain convolution inequalities (1972) Proc. Amer. Math. Soc, 36, pp. 505-510
- Strömberg, J.O., Torchinsky, A., Weighted Hardy Spaces, , to appear
- Strömberg, J.O., Wheeden, R.L., Relations between HZ and LZ with polyrwrnial weights (1982) Trans. Amer. Math. Soc, 270, pp. 439-467
- Strömberg, J.-O., Fractional integrals on weighted ifP and spaces (1985) Trans. Amer. Math. Soc, 287, pp. 293-321
- Welland, G.V., Weighted norm mequahties for fracUorwl integrals (1975) Proc. Amer. Math. Soc, 51, pp. 143-148
Citas:
---------- APA ----------
Gatto 2, A.E., Gutierrez, C.E. & Wheeden, R.L. (1985) . Fractional integrals on weighted hpspaces. Transactions of the American Mathematical Society, 289(2), 575-589.http://dx.doi.org/10.1090/S0002-9947-1985-0784004-1
---------- CHICAGO ----------
Gatto 2, A.E., Gutierrez, C.E., Wheeden, R.L. "Fractional integrals on weighted hpspaces" . Transactions of the American Mathematical Society 289, no. 2 (1985) : 575-589.http://dx.doi.org/10.1090/S0002-9947-1985-0784004-1
---------- MLA ----------
Gatto 2, A.E., Gutierrez, C.E., Wheeden, R.L. "Fractional integrals on weighted hpspaces" . Transactions of the American Mathematical Society, vol. 289, no. 2, 1985, pp. 575-589.http://dx.doi.org/10.1090/S0002-9947-1985-0784004-1
---------- VANCOUVER ----------
Gatto 2, A.E., Gutierrez, C.E., Wheeden, R.L. Fractional integrals on weighted hpspaces. Trans. Am. Math. Soc. 1985;289(2):575-589.http://dx.doi.org/10.1090/S0002-9947-1985-0784004-1
