Summability to the Hilbert Transform

E. Liflyand

doi:10.1007/978-3-030-77493-6_21

Summability to the Hilbert Transform

E. Liflyand

Department of Mathematics

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

Abstract

New sufficient conditions for the almost everywhere convergence (at the Lebesgue points) of general summability means of the conjugate integral to the Hilbert transform are obtained in the paper. Consequences and applications are also discussed.

Original language	English
Title of host publication	Operator Theory and Harmonic Analysis, OTHA 2020
Editors	Alexey N. Karapetyants, Vladislav V. Kravchenko, Elijah Liflyand, Helmuth R. Malonek
Publisher	Springer
Pages	361-368
Number of pages	8
ISBN (Print)	9783030774929
DOIs	https://doi.org/10.1007/978-3-030-77493-6_21
State	Published - 2021
Event	International Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020 - Rostov-on-Don, Russian Federation Duration: 26 Apr 2020 → 30 Apr 2020

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	357
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020
Country/Territory	Russian Federation
City	Rostov-on-Don
Period	26/04/20 → 30/04/20

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Fourier integral
Hilbert transform

Access to Document

10.1007/978-3-030-77493-6_21

Cite this

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title = "Summability to the Hilbert Transform",

abstract = "New sufficient conditions for the almost everywhere convergence (at the Lebesgue points) of general summability means of the conjugate integral to the Hilbert transform are obtained in the paper. Consequences and applications are also discussed.",

keywords = "Fourier integral, Hilbert transform",

author = "E. Liflyand",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.; International Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020 ; Conference date: 26-04-2020 Through 30-04-2020",

year = "2021",

doi = "10.1007/978-3-030-77493-6_21",

language = "אנגלית",

isbn = "9783030774929",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "361--368",

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Liflyand, E 2021, Summability to the Hilbert Transform. in AN Karapetyants, VV Kravchenko, E Liflyand & HR Malonek (eds), Operator Theory and Harmonic Analysis, OTHA 2020. Springer Proceedings in Mathematics and Statistics, vol. 357, Springer, pp. 361-368, International Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020, Rostov-on-Don, Russian Federation, 26/04/20. https://doi.org/10.1007/978-3-030-77493-6_21

Summability to the Hilbert Transform. / Liflyand, E.
Operator Theory and Harmonic Analysis, OTHA 2020. ed. / Alexey N. Karapetyants; Vladislav V. Kravchenko; Elijah Liflyand; Helmuth R. Malonek. Springer, 2021. p. 361-368 (Springer Proceedings in Mathematics and Statistics; Vol. 357).

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

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Summability to the Hilbert Transform

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Keywords

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