English

Operator-valued Fourier multipliers in Besov spaces and its applications

Functional Analysis 2008-08-20 v1

Abstract

The present paper, is devoted to investigation of operator--valued Fourier multiplier theorems from Bq1,rsB_{q_{1},r}^{s} to Bq2,rsB_{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.

Keywords

Cite

@article{arxiv.0808.2637,
  title  = {Operator-valued Fourier multipliers in Besov spaces and its applications},
  author = {Veli Shakhmurov and Rishad Shahmurov},
  journal= {arXiv preprint arXiv:0808.2637},
  year   = {2008}
}

Comments

26 pages