Functiones et Approximatio Commentarii Mathematici

Some embeddings and equivalent norms of the $\mathcal{L}_{p,q}^{\lambdas}$ spaces

Douadi Drihem

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Abstract

The aim of this paper is to give some properties for\ the $\mathcal{L}_{p,q}^{\lambda,s}$ spaces, especially concerning embeddings and equivalent norms based of maximal functions and local means.

Article information

Source
Funct. Approx. Comment. Math., Volume 41, Number 1 (2009), 15-40.

Dates
First available in Project Euclid: 30 September 2009

Permanent link to this document
https://projecteuclid.org/euclid.facm/1254330157

Digital Object Identifier
doi:10.7169/facm/1254330157

Mathematical Reviews number (MathSciNet)
MR2568794

Zentralblatt MATH identifier
1184.46036

Subjects
Primary: 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems

Keywords
Besov spaces Campanato spaces Triebel-Lizorkin spaces $\mathcal{L}_{p,q}^{\lambda ,s}$ spaces local means maximal functions

Citation

Drihem, Douadi. Some embeddings and equivalent norms of the $\mathcal{L}_{p,q}^{\lambdas}$ spaces. Funct. Approx. Comment. Math. 41 (2009), no. 1, 15--40. doi:10.7169/facm/1254330157. https://projecteuclid.org/euclid.facm/1254330157


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