On pasting -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 | References | Similar Articles | Additional Information

Abstract: Theorem 3 gives a condition when two -weights can be ``pasted'' together to yield another -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

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