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Abstract:

Let Iα be the fractional integral operator defined as Given a weight w (resp. v), necessary and sufficient conditions are given for the existence of a non trivial weight v (resp. w) such that holds for any ball B such that ||vxB||∞ > 0. © 1984 American Mathematical Society.

Registro:

Documento: Artículo
Título:A two weight inequality for the fractional integral when p = n/α
Autor:Harboure, E.; Macias, R.A.; Segovia, C.
Filiación:Güemes 3450, CC91, Santa Fe, 3000, Argentina
Universidad de Buenos Aires, 1428-Buenos Aires, Argentina
Año:1984
Volumen:90
Número:4
Página de inicio:555
Página de fin:562
DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0733405-0
Título revista:Proceedings of the American Mathematical Society
Título revista abreviado:Proc. Am. Math. Soc.
ISSN:00029939
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v90_n4_p555_Harboure

Referencias:

  • Harboure, E., Macias, R.A., Segovia, C., Boundedness of Fractional Operators on Lp Spaces with different Weights
  • Muckenhoupt, B., Wheeden, R.L., Weighted norm inequalities for fractional integrals (1974) Trans. Amer. Math. Soc, 192, pp. 261-274

Citas:

---------- APA ----------
Harboure, E., Macias, R.A. & Segovia, C. (1984) . A two weight inequality for the fractional integral when p = n/α. Proceedings of the American Mathematical Society, 90(4), 555-562.
http://dx.doi.org/10.1090/S0002-9939-1984-0733405-0
---------- CHICAGO ----------
Harboure, E., Macias, R.A., Segovia, C. "A two weight inequality for the fractional integral when p = n/α" . Proceedings of the American Mathematical Society 90, no. 4 (1984) : 555-562.
http://dx.doi.org/10.1090/S0002-9939-1984-0733405-0
---------- MLA ----------
Harboure, E., Macias, R.A., Segovia, C. "A two weight inequality for the fractional integral when p = n/α" . Proceedings of the American Mathematical Society, vol. 90, no. 4, 1984, pp. 555-562.
http://dx.doi.org/10.1090/S0002-9939-1984-0733405-0
---------- VANCOUVER ----------
Harboure, E., Macias, R.A., Segovia, C. A two weight inequality for the fractional integral when p = n/α. Proc. Am. Math. Soc. 1984;90(4):555-562.
http://dx.doi.org/10.1090/S0002-9939-1984-0733405-0