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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On pasting $A_p$-weights


Author: Bernd S. W. Schröder
Journal: Proc. Amer. Math. Soc. 124 (1996), 3339-3344
MSC (1991): Primary 26D07, 28A25, 42A20, 47B99
MathSciNet review: 1328376
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Abstract: Theorem 3 gives a condition when two $A_p$-weights can be ``pasted'' together to yield another $A_p$-weight. It is subsequently used in Example 6 to give an example that shows that a necessary condition by Gohberg, Krupnik, and Spitkovsky is not sufficient.


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Additional Information

Bernd S. W. Schröder
Affiliation: Department of Mathematics, Hampton University, Hampton, Virginia 23668
Email: schroder@huajai.cs.hamptonu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03421-1
PII: S 0002-9939(96)03421-1
Keywords: $A_p$-weight, pasting, contour, Fourier series, Hilbert transform, Cauchy operator
Received by editor(s): September 14, 1994
Received by editor(s) in revised form: March 25, 1995
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1996 American Mathematical Society