Measures that define a compact cauchy transform

Carmelo Puliatti; Svitlana Mayboroda

doi:10.1090/proc/14419

Measures that define a compact cauchy transform

Carmelo Puliatti, Svitlana Mayboroda

Research output: Contribution to journal › Article › Research

Abstract

© 2019 American Mathematical Society. The aim of this work is to provide a geometric characterization of the positive Radon measures µ with compact support on the plane such that the associated Cauchy transform defines a compact operator from L 2 (µ) to L 2 (µ). It turns out that a crucial role is played by the density of the measure and by its Menger curvature.

Original language	English
Pages (from-to)	2069-2080
Journal	Proceedings of the American Mathematical Society
Volume	147
DOIs	https://doi.org/10.1090/proc/14419
Publication status	Published - 1 May 2019

Access to Document

10.1090/proc/14419

Fingerprint Dive into the research topics of 'Measures that define a compact cauchy transform'. Together they form a unique fingerprint.

Cite this

@article{706d2d5cc4a04c7bae81e35c6f89e9dc,

title = "Measures that define a compact cauchy transform",

abstract = "{\textcopyright} 2019 American Mathematical Society. The aim of this work is to provide a geometric characterization of the positive Radon measures µ with compact support on the plane such that the associated Cauchy transform defines a compact operator from L 2 (µ) to L 2 (µ). It turns out that a crucial role is played by the density of the measure and by its Menger curvature.",

author = "Carmelo Puliatti and Svitlana Mayboroda",

year = "2019",

month = may,

day = "1",

doi = "10.1090/proc/14419",

language = "English",

volume = "147",

pages = "2069--2080",

}

TY - JOUR

T1 - Measures that define a compact cauchy transform

AU - Puliatti, Carmelo

AU - Mayboroda, Svitlana

PY - 2019/5/1

Y1 - 2019/5/1

N2 - © 2019 American Mathematical Society. The aim of this work is to provide a geometric characterization of the positive Radon measures µ with compact support on the plane such that the associated Cauchy transform defines a compact operator from L 2 (µ) to L 2 (µ). It turns out that a crucial role is played by the density of the measure and by its Menger curvature.

AB - © 2019 American Mathematical Society. The aim of this work is to provide a geometric characterization of the positive Radon measures µ with compact support on the plane such that the associated Cauchy transform defines a compact operator from L 2 (µ) to L 2 (µ). It turns out that a crucial role is played by the density of the measure and by its Menger curvature.

U2 - 10.1090/proc/14419

DO - 10.1090/proc/14419

M3 - Article

VL - 147

SP - 2069

EP - 2080

ER -