Operator-valued Fourier multipliers in Besov spaces and its applications

Details Operator-valued Fourier multipliers in Besov spaces and its applications Operator-valued Fourier multipliers in Besov spaces and its applications

2008-08-19

arxiv.org/abs/0808.2637v1

Mathematics

Functional Analysis

26 pages

Scientific paper

The present paper, is devoted to investigation of operator--valued Fourier
multiplier theorems from $B_{q_{1},r}^{s}$ to $B_{q_{2},r}^{s}$, optimal
embedding of Besov spaces, the separability and positivity of differential
operators. Here, we show that these differential operators generate analytic
semigroup.

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