帶變量核的分?jǐn)?shù)次積分算子與局部Campanato函數(shù)生成的交換子在廣義局部Morrey空間的有界性（英文）
發(fā)布時(shí)間：2018-10-18 08:19
【摘要】：設(shè)T_(Ω,a)是帶變量核的分?jǐn)?shù)次積分算子.本文證明了T_(Ω,α)在廣義局部Morrey空間LM_(p,φ)~{x_0}的有界性,進(jìn)一步還考慮了由T_(Ω,α)與局部Campanato函數(shù)生成的多線性交換子在廣義局部Morrey空間的有界性.
[Abstract]:Let T _ (惟, a) be a fractional integral operator with variable kernels. In this paper, we prove the boundedness of T _ (惟, 偽) in generalized local Morrey space LM_ (p, 蠁) ~ {x _ class _ 0}. Furthermore, we consider the boundedness of multilinear commutators generated by T _ (惟, 偽) and local Campanato functions in generalized local Morrey spaces.
【作者單位】： 北京郵電大學(xué)理學(xué)院;
【基金】：supported by NSFC(No.11601035,No.11471050)
【分類號(hào)】：O177
[Abstract]:Let T _ (惟, a) be a fractional integral operator with variable kernels. In this paper, we prove the boundedness of T _ (惟, 偽) in generalized local Morrey space LM_ (p, 蠁) ~ {x _ class _ 0}. Furthermore, we consider the boundedness of multilinear commutators generated by T _ (惟, 偽) and local Campanato functions in generalized local Morrey spaces.
【作者單位】： 北京郵電大學(xué)理學(xué)院;
【基金】：supported by NSFC(No.11601035,No.11471050)
【分類號(hào)】：O177
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