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ArticleOriginal scientific text

Title

The Muckenhoupt class A₁(R)

Authors 1, 2, 3

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, Sweden, 00-950 Warszawa, Poland
  2. Dipartimento di Matematica e Applicazioni, Università Degli Studi di Milano, Via Mezzocannone, 8, I-80134 Napoli, Italy
  3. Department of Mathematics, University of Umeå, S-901 87 Umeå, Sweden

Abstract

It is shown that the Muckenhoupt structure constants for f and f* on the real line are the same.

Bibliography

  1. C. Bennett and R. Sharpley, Interpolation of Operators, Academic Press, 1988.
  2. B. Muckenhoupt, Weighted inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226.
  3. A. Torchinsky, Real-Variable Methods in Harmonic Analysis, Academic Press, 1986.
  4. I. Wik, On Muckenhoupt's classes of weight functions, Studia Math. 94 (1989), 245-255.
Studia Mathematica
1991-1992/101/2
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Pages:
155-163
Main language of publication
English
Received
1990-10-23
Published
1992
Exact and natural sciences