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Two-Weight Estimates for Singular Integrals Defined on Spaces of Homogeneous Type

Published online by Cambridge University Press:  20 November 2018

D. E. Edmunds ,
V. Kokilashvili  and
A. Meskhi
D. E. Edmunds
Affiliation:
Centre for Mathematical Analysis and its Applications, University of Sussex, Brighton BN1 9QH, Sussex, United Kingdom
V. Kokilashvili
Affiliation:
A. M. Razmadze Mathematical Institute, Z. Rukhadze Str. 1, 380093 Tbilisi, Republic of Georgia
A. Meskhi
Affiliation:
A. M. Razmadze Mathematical Institute, Z. Rukhadze Str. 1, 380093 Tbilisi, Republic of Georgia
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Abstract

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Two-weight inequalities of strong and weak type are obtained in the context of spaces of homogeneous type. Various applications are given, in particular to Cauchy singular integrals on regular curves.

Keywords

47B3826D10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 52 , Issue 3 , 01 June 2000 , pp. 468 - 502
Copyright
Copyright © Canadian Mathematical Society 2000

References

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