Open Access
June 2010 Growth envelopes in Muckenhoupt weighted function spaces: the general case
Dorothee D. Haroske
Funct. Approx. Comment. Math. 42(2): 169-216 (June 2010). DOI: 10.7169/facm/1277811640

Abstract

We study growth envelopes of function spaces $B^s_{p,q}(\mathbb{R},w)$ and $F^s_{p,q}(\mathbb{R},w)$ where the weight belongs to some Muckenhoupt class $w\in\mathcal{A}_\infty$. This essentially extends partial forerunners in [13--16]. We also indicate some applications of these results.

Citation

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Dorothee D. Haroske. "Growth envelopes in Muckenhoupt weighted function spaces: the general case." Funct. Approx. Comment. Math. 42 (2) 169 - 216, June 2010. https://doi.org/10.7169/facm/1277811640

Information

Published: June 2010
First available in Project Euclid: 29 June 2010

zbMATH: 1201.46031
MathSciNet: MR2674538
Digital Object Identifier: 10.7169/facm/1277811640

Subjects:
Primary: 46E35
Secondary: 42B35

Keywords: envelopes , function spaces , Muckenhoupt weights

Rights: Copyright © 2010 Adam Mickiewicz University

Vol.42 • No. 2 • June 2010
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