Properties of parabolic Sobolev and parabolic Besov spaces

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

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

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