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The Conjugate Function in Plane Curves

Published online by Cambridge University Press:  20 November 2018

Jose J. Guadalupe  and
Ma Luisa Rezola
Jose J. Guadalupe
Affiliation:
Dpto de matematicas-Facultad de Ciencias, Universidad de Zaragoza50009, Zaragoza - Spain
Ma Luisa Rezola
Affiliation:
Dpto de matematicas-Facultad de Ciencias, Universidad de Zaragoza50009, Zaragoza - Spain
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Abstract

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We prove that the conjugate function operator is bounded in Lp(Г, wds), 1 < p < ∞, if and only if w ∈ Ap(Г), where Г is a quasiregular curve.

Keywords

42A50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 2 , 01 June 1988 , pp. 147 - 152
Copyright
Copyright © Canadian Mathematical Society 1988

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