✦ LIBER ✦

Boundedness of generalized fractional integral operators

✍ Scribed by Tang Canqin; Yang Dachun; Zhang Pu

Book ID: 112908605
Publisher: Springer
Year: 2002
Tongue: English
Weight: 638 KB
Volume: 18
Category: Article
ISSN: 1573-8175
DOI: 10.1007/bf02845273

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## Abstract Let __L__ be the infinitesimal generator of an analytic semigroup on __L__^2^(ℝ^__n__^ ) with Gaussian kernel bound, and let __L__^–__α__ /2^ be the fractional integral of __L__ for 0 < __α__ < __n__. Suppose that __b__ = (__b__~1~, __b__~2~, …, __b__~__m__~ ) is a finite family of loca