A two weight inequality for the fractional integral when p = n/α

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.

Detalles Bibliográficos
Publicado: 1984
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v90_n4_p555_Harboure
http://hdl.handle.net/20.500.12110/paper_00029939_v90_n4_p555_Harboure
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Descripción
Sumario: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.