Survey on the best constants in the theory of one-dimensional singular integral operators

Nahum Krupnik

doi:10.1007/978-3-0346-0158-0_21

Survey on the best constants in the theory of one-dimensional singular integral operators

Nahum Krupnik

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

9 Scopus citations

Abstract

A survey on the best constants in the theory of one-dimensional singular integral operators is given. Some open questions are formulated.

Original language	English
Title of host publication	Topics in Operator Theory
Subtitle of host publication	Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008
Editors	Joseph A. Ball, Vladimir Bolotnikov, Leiba Rodman, Ilya M. Spitkovsky, J. William Helton
Publisher	Springer International Publishing
Pages	365-393
Number of pages	29
ISBN (Print)	9783034601573
DOIs	https://doi.org/10.1007/978-3-0346-0158-0_21
State	Published - 2010
Event	19th International Workshop on Operator Theory and its Applications, IWOTA 2008 - Williamsburg, United States Duration: 22 Jul 2008 → 26 Jul 2008

Publication series

Name	Operator Theory: Advances and Applications
Volume	202
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Conference

Conference	19th International Workshop on Operator Theory and its Applications, IWOTA 2008
Country/Territory	United States
City	Williamsburg
Period	22/07/08 → 26/07/08

Bibliographical note

Publisher Copyright:
© 2010 Birkhäuser Verlag Basel/Switzerland.

Funding

The work was partially supported by Retalon Inc., Toronto, ON, Canada.

Funders
Retalon Inc.

Keywords

Local principle
Matrix symbol
Norm
Singular integral operators

Access to Document

10.1007/978-3-0346-0158-0_21

Cite this

Krupnik, N. (2010). Survey on the best constants in the theory of one-dimensional singular integral operators. In J. A. Ball, V. Bolotnikov, L. Rodman, I. M. Spitkovsky, & J. W. Helton (Eds.), Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008 (pp. 365-393). (Operator Theory: Advances and Applications; Vol. 202). Springer International Publishing. https://doi.org/10.1007/978-3-0346-0158-0_21

Krupnik, Nahum. / Survey on the best constants in the theory of one-dimensional singular integral operators. Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008. editor / Joseph A. Ball ; Vladimir Bolotnikov ; Leiba Rodman ; Ilya M. Spitkovsky ; J. William Helton. Springer International Publishing, 2010. pp. 365-393 (Operator Theory: Advances and Applications).

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abstract = "A survey on the best constants in the theory of one-dimensional singular integral operators is given. Some open questions are formulated.",

keywords = "Local principle, Matrix symbol, Norm, Singular integral operators",

author = "Nahum Krupnik",

note = "Publisher Copyright: {\textcopyright} 2010 Birkh{\"a}user Verlag Basel/Switzerland.; 19th International Workshop on Operator Theory and its Applications, IWOTA 2008 ; Conference date: 22-07-2008 Through 26-07-2008",

year = "2010",

doi = "10.1007/978-3-0346-0158-0\_21",

language = "אנגלית",

isbn = "9783034601573",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing",

pages = "365--393",

editor = "Ball, \{Joseph A.\} and Vladimir Bolotnikov and Leiba Rodman and Spitkovsky, \{Ilya M.\} and Helton, \{J. William\}",

booktitle = "Topics in Operator Theory",

}

Krupnik, N 2010, Survey on the best constants in the theory of one-dimensional singular integral operators. in JA Ball, V Bolotnikov, L Rodman, IM Spitkovsky & JW Helton (eds), Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008. Operator Theory: Advances and Applications, vol. 202, Springer International Publishing, pp. 365-393, 19th International Workshop on Operator Theory and its Applications, IWOTA 2008, Williamsburg, United States, 22/07/08. https://doi.org/10.1007/978-3-0346-0158-0_21

Survey on the best constants in the theory of one-dimensional singular integral operators. / Krupnik, Nahum.
Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008. ed. / Joseph A. Ball; Vladimir Bolotnikov; Leiba Rodman; Ilya M. Spitkovsky; J. William Helton. Springer International Publishing, 2010. p. 365-393 (Operator Theory: Advances and Applications; Vol. 202).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Krupnik N. Survey on the best constants in the theory of one-dimensional singular integral operators. In Ball JA, Bolotnikov V, Rodman L, Spitkovsky IM, Helton JW, editors, Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008. Springer International Publishing. 2010. p. 365-393. (Operator Theory: Advances and Applications). doi: 10.1007/978-3-0346-0158-0_21

Survey on the best constants in the theory of one-dimensional singular integral operators

Abstract

Publication series

Conference

Bibliographical note

Funding

Keywords

Access to Document

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