TOEPLITZ-OPERATORS WITH SEMI-ALMOST PERIODIC SYMBOLS ON SPACES WITH MUCKENHOUPT WEIGHT

被引:7
作者
BOTTCHER, A
KARLOVICH, YI
SPITKOVSKY, IM
机构
[1] TECH UNIV CHEMNITZ,FACHBEREICH MATH,D-09009 CHEMNITZ,GERMANY
[2] UKRAINIAN ACAD SCI,INST MARINE HYDROPHYS,DEPT HYDROACOUST,ODESSA 270100,UKRAINE
[3] COLL WILLIAM & MARY,DEPT MATH,WILLIAMSBURG,VA 23187
关键词
MSC; 1991:; Primary; 47B35; Secondary; 39A10; 42A75; 45E05; 45E10; 47A68;
D O I
10.1007/BF01206293
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish Fredholm criteria and index formulas for Toeplitz operators with semi-almost periodic matrix-valued symbols on the Hardy spaces corresponding to L(p) spaces on the real line with Muckenhoupt weight. In the scalar case, these results imply descriptions of the spectrum and, in particular, invertibility criteria.
引用
收藏
页码:261 / 276
页数:16
相关论文
共 23 条