A NOTE ON FRACTIONAL POWERS OF STRONGLY POSITIVE OPERATORS AND THEIR APPLICATIONS

被引：2

作者：

Ashyralyev, Allaberen ^{[1
,2
,3
]}

Hamad, Ayman ^{[1
,4
]}

机构：

[1] Near East Univ, Dept Math, Mersin 10, Lefkosa, Turkey

[2] RUDN Univ, Peoples Friendship Univ Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia

[3] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[4] Omar Al Mukhtar Univ, Dept Math, El Beida, Libya

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2019年 / 22卷 / 02期

关键词：

fractional powers; interpolation spaces; fractional derivatives; positive operators; elliptic operators; INEQUALITIES; SOLVABILITY; DERIVATIVES; 2ND-ORDER; MODEL;

D O I：

10.1515/fca-2019-0020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper deals with fractional powers of positive operators in a Banach space. The main theorem concerns the structure of fractional powers of positive operators in fractional spaces. As applications, the structure of fractional powers of elliptic operators is studied.

引用

页码：302 / 325

页数：24

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