Toeplitz and Hankel Type Operators on an Annulus

Qingtang Jiang; Lizhong Peng

Toeplitz and Hankel Type Operators on an Annulus

University of Missouri-St. Louis

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

Abstract

Let Ω be a regular domain in the extended complex plane, i.e ., it is a bounded domain and its boundary consists of a finite number of disjoint analytic simple closed curves. Let dm ( z ) be the Lebesgue area measure on Ω and let ds = dm ( z )/ω( z ) be the Poincare metric on Ω, a Riemannian metric of negative constant curvature. It may be proved that Ω ( z ) ≈ Euclidean distance from z to the boundary of Ω (see [8]).

Original language	American English
Journal	Mathematika
Volume	41
State	Published - 1994

Disciplines

Physical Sciences and Mathematics

Cite this

@article{775ed419ece24b4dbca1bfccbbe62b43,

title = "Toeplitz and Hankel Type Operators on an Annulus",

abstract = " Let Ω be a regular domain in the extended complex plane, i.e ., it is a bounded domain and its boundary consists of a finite number of disjoint analytic simple closed curves. Let dm ( z ) be the Lebesgue area measure on Ω and let ds = dm ( z )/ω( z ) be the Poincare metric on Ω, a Riemannian metric of negative constant curvature. It may be proved that Ω ( z ) ≈ Euclidean distance from z to the boundary of Ω (see [8]).",

author = "Qingtang Jiang and Lizhong Peng",

note = "Let Ω be a regular domain in the extended complex plane, i.e., it is a bounded domain and its boundary consists of a finite number of disjoint analytic simple closed curves. Let dm(z) be the Lebesgue area measure on Ω and let ds = dm(z)/ω(z) be the Poincare metric on Ω, a Riemannian metric of negative constant curvature.",

year = "1994",

language = "American English",

volume = "41",

journal = "Mathematika",

}

TY - JOUR

T1 - Toeplitz and Hankel Type Operators on an Annulus

AU - Jiang, Qingtang

AU - Peng, Lizhong

N1 - Let Ω be a regular domain in the extended complex plane, i.e., it is a bounded domain and its boundary consists of a finite number of disjoint analytic simple closed curves. Let dm(z) be the Lebesgue area measure on Ω and let ds = dm(z)/ω(z) be the Poincare metric on Ω, a Riemannian metric of negative constant curvature.

PY - 1994

Y1 - 1994

N2 - Let Ω be a regular domain in the extended complex plane, i.e ., it is a bounded domain and its boundary consists of a finite number of disjoint analytic simple closed curves. Let dm ( z ) be the Lebesgue area measure on Ω and let ds = dm ( z )/ω( z ) be the Poincare metric on Ω, a Riemannian metric of negative constant curvature. It may be proved that Ω ( z ) ≈ Euclidean distance from z to the boundary of Ω (see [8]).

AB - Let Ω be a regular domain in the extended complex plane, i.e ., it is a bounded domain and its boundary consists of a finite number of disjoint analytic simple closed curves. Let dm ( z ) be the Lebesgue area measure on Ω and let ds = dm ( z )/ω( z ) be the Poincare metric on Ω, a Riemannian metric of negative constant curvature. It may be proved that Ω ( z ) ≈ Euclidean distance from z to the boundary of Ω (see [8]).

UR - https://www.cambridge.org/core/journals/mathematika/article/toeplitz-and-hankel-type-operators-on-an-annulus/37135B2E2B6361733E511A09E2C5D6C6

M3 - Article

VL - 41

JO - Mathematika

JF - Mathematika

ER -

Toeplitz and Hankel Type Operators on an Annulus

Abstract

Disciplines

Other files and links

Cite this