Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality

Justice Sam Bansah; Benoît F. Sehba

doi:10.1007/978-3-030-77493-6_5

Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality

Justice Sam Bansah, Benoît F. Sehba

Department of Mathematics

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

1 Citation (Scopus)

Abstract

In this paper, we introduce the notion of martingale Hardy-amalgam spaces: Hp,qs,Qp,q and P_p _, _q. We present two atomic decompositions for these spaces. The dual space of Hp,qs for 0 < p ≤ q ≤ 1 is shown to be a Campanato-type space.

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	73-100
Number of pages	28
ISBN (Print)	9783030774929
DOIs	https://doi.org/10.1007/978-3-030-77493-6_5
Publication status	Published - 2021
Event	International Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020 - Rostov-on-Don 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

Keywords

Atomic decomposition
Campanato spaces
Hardy-amalgam spaces
Martingales

Access to Document

10.1007/978-3-030-77493-6_5

Cite this

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title = "Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality",

abstract = "In this paper, we introduce the notion of martingale Hardy-amalgam spaces: Hp,qs,Qp,q and Pp , q. We present two atomic decompositions for these spaces. The dual space of Hp,qs for 0 < p ≤ q ≤ 1 is shown to be a Campanato-type space.",

keywords = "Atomic decomposition, Campanato spaces, Hardy-amalgam spaces, Martingales",

author = "Bansah, {Justice Sam} and Sehba, {Beno{\^i}t F.}",

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_5",

language = "English",

isbn = "9783030774929",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "73--100",

editor = "Karapetyants, {Alexey N.} and Kravchenko, {Vladislav V.} and Elijah Liflyand and Malonek, {Helmuth R.}",

booktitle = "Operator Theory and Harmonic Analysis, OTHA 2020",

}

Bansah, JS & Sehba, BF 2021, Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality. 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. 73-100, 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_5

Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality. / Bansah, Justice Sam; Sehba, Benoît F.
Operator Theory and Harmonic Analysis, OTHA 2020. ed. / Alexey N. Karapetyants; Vladislav V. Kravchenko; Elijah Liflyand; Helmuth R. Malonek. Springer, 2021. p. 73-100 (Springer Proceedings in Mathematics and Statistics; Vol. 357).

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

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Y1 - 2021

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AB - In this paper, we introduce the notion of martingale Hardy-amalgam spaces: Hp,qs,Qp,q and Pp , q. We present two atomic decompositions for these spaces. The dual space of Hp,qs for 0 < p ≤ q ≤ 1 is shown to be a Campanato-type space.

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KW - Campanato spaces

KW - Hardy-amalgam spaces

KW - Martingales

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DO - 10.1007/978-3-030-77493-6_5

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A2 - Malonek, Helmuth R.

PB - Springer

Y2 - 26 April 2020 through 30 April 2020

ER -

Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality

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