Equality of Some Classical Lorentz Spaces

Equality of Some Classical Lorentz Spaces We prove that although the class of M p -weights of Muckenhoupt is strictly smaller than class of B p -weights of Ariño and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Equality of Some Classical Lorentz Spaces

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2005 by Springer
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-003-2712-x
Publisher site
See Article on Publisher Site

Abstract

We prove that although the class of M p -weights of Muckenhoupt is strictly smaller than class of B p -weights of Ariño and Muckenhoupt, both classes produce the same classical Lorentz spaces. An analogous result is obtained for other classes of weights.

Journal

PositivitySpringer Journals

Published: Jan 5, 2003

References

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