{ "id": "0808.2637", "version": "v1", "published": "2008-08-19T19:25:23.000Z", "updated": "2008-08-19T19:25:23.000Z", "title": "Operator-valued Fourier multipliers in Besov spaces and its applications", "authors": [ "Veli Shakhmurov", "Rishad Shahmurov" ], "comment": "26 pages", "categories": [ "math.FA" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2008-08-19T19:25:23.000Z" } ], "analyses": { "subjects": [ "42B15", "46E40", "34G10" ], "keywords": [ "besov spaces", "differential operators generate analytic semigroup", "applications", "operator-valued fourier multiplier theorems" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0808.2637S" } } }