2002-Fez conference on Partial Differental Equations,
Electron. J. Diff. Eqns., Conf. 09, 2002, pp. 109-115.

Function spaces of BMO and Campanato type

Azzeddine El Baraka

Abstract:
To obtain the Littlewood-Paley characterization for Campanato spaces ${\cal L}^{2,\lambda}$ modulo polynomials (which contain as special case the John and Nirenberg space BMO), we define and study a scale of function spaces on $\mathbb{R}^{n}$. We discuss the real interpolation of these spaces and some embeddings between these spaces and the classical spaces. These embeddings cover some classical results obtained by Campanato, Strichartz, Stein and Zygmund.

Published December 28, 2002.
Subject classfications: 46E35, 46B70.
Key words: BMO-space, Campanato spaces, Real interpolation, Sobolev embeddings.

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Azzeddine El Baraka
University M. Ben Abdellah, FST Fez-Saiss
Department of mathematics
BP 2202, Route Immouzer
Fez 30000 Morocco
e-mail: aelbaraka@yahoo.com

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