Properties of parabolic Sobolev and parabolic Besov spaces

2011/08/02 by Tongkeun Chang, Chang, Tongkeun
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods #math.FA

paper · pdf · doi:10.48550/arxiv.1108.0499

arxiv created 2011/08/02 · arxiv updated 2011/08/03

Abstract

In this paper, we characterize parabolic Besov and parabolic Sobolev spaces in \bf Rⁿ⁺¹ and \bf Rⁿ⁺¹_T, T > 0. We also, study the relation between parabolic Besov spaces in \bf Rⁿ_T, T > 0 and standard Besov space in \R.

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