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

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1994年 / 18卷 / 03期

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

页码：261 / 276

页数：16

共 23 条

[1] TOEPLITZ-OPERATORS WITH PQC SYMBOLS ON WEIGHTED HARDY-SPACES [J].

BOTTCHER, A ;

SPITKOVSKY, IM .

JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 97 (01) :194-214

[2]

BOTTCHER A, 1986, PMATH0486 K WEIERSTR

[3]

BOTTCHER A, 1993, IN PRESS REV MAT IB

[4]

BOTTCHER A, 1990, ANAL TOEPLITZ OPERAT

[5]

CLANCEY K, 1981, FACTORIZATION MATRIX

[6] TRANSLATION OPERATORS ON HALF-LINE [J].

COBURN, LA ;

DOUGLAS, RG .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1969, 62 (04) :1010-&

[7]

DUDUCHAVA RV, 1979, T TBILISS MATEM I RA, V60, P5

[8]

Gohberg I.C., 1968, SOV MATH DOKL, V183, p[25, 1312]

[9]

GOHBERG IC, 1973, INTRO THEORY LINEAR

[10] WEIGHTED NORM INEQUALITIES FOR CONJUGATE FUNCTION AND HILBERT TRANSFORM [J].

HUNT, R ;

MUCKENHOUPT, B ;

WHEEDEN, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 176 (449) :227-251

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