Toeplitz and Hankel Type Operators on the Upper Half-plane

Qingtang Jiang; Lizhong Peng

Toeplitz and Hankel Type Operators on the Upper Half-plane

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

An orthogonal decomposition of admissible wavelets is constructed via the Laguerre polynomials, it turns to give a complete decomposition of the space of square integrable functions on the upper half-plane with the measureyαdxdy. The first subspace is just the weighted Bergman (or Dzhrbashyan) space. Three types of Ha-plitz operators are defined, they are the generalization of classical Toeplitz, small and big Hankel operators respectively. Their boundedness, compactness and Schatten-von Neumann properties are studied.

Original language	American English
Journal	Integral Equations and Operator Theory
Volume	15
State	Published - Sep 1992

Disciplines

Physical Sciences and Mathematics

Cite this

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title = "Toeplitz and Hankel Type Operators on the Upper Half-plane",

abstract = " An orthogonal decomposition of admissible wavelets is constructed via the Laguerre polynomials, it turns to give a complete decomposition of the space of square integrable functions on the upper half-plane with the measureyαdxdy. The first subspace is just the weighted Bergman (or Dzhrbashyan) space. Three types of Ha-plitz operators are defined, they are the generalization of classical Toeplitz, small and big Hankel operators respectively. Their boundedness, compactness and Schatten-von Neumann properties are studied.",

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T1 - Toeplitz and Hankel Type Operators on the Upper Half-plane

AU - Jiang, Qingtang

AU - Peng, Lizhong

PY - 1992/9

Y1 - 1992/9

N2 - An orthogonal decomposition of admissible wavelets is constructed via the Laguerre polynomials, it turns to give a complete decomposition of the space of square integrable functions on the upper half-plane with the measureyαdxdy. The first subspace is just the weighted Bergman (or Dzhrbashyan) space. Three types of Ha-plitz operators are defined, they are the generalization of classical Toeplitz, small and big Hankel operators respectively. Their boundedness, compactness and Schatten-von Neumann properties are studied.

AB - An orthogonal decomposition of admissible wavelets is constructed via the Laguerre polynomials, it turns to give a complete decomposition of the space of square integrable functions on the upper half-plane with the measureyαdxdy. The first subspace is just the weighted Bergman (or Dzhrbashyan) space. Three types of Ha-plitz operators are defined, they are the generalization of classical Toeplitz, small and big Hankel operators respectively. Their boundedness, compactness and Schatten-von Neumann properties are studied.

UR - https://link.springer.com/article/10.1007/BF01200698

M3 - Article

VL - 15

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

ER -

Toeplitz and Hankel Type Operators on the Upper Half-plane

Abstract

Disciplines

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Cite this