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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 9, Pages 16–26
DOI: https://doi.org/10.26907/0021-3446-2019-9-16-26 (Mi ivm9495) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Fractional modified Hardy and Hardy–Littlewood operators and their commutators

S. S. Volosivetsa, B. I. Golubovb

a Saratov State University, 83 Astrahanskaya str., Saratov, 410012 Russia
b National Engineering Physics Institute, 9 Institutskii per., Moscow region, Dolgoprudny, 141700 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-9-16-26
Abstract: For modified fractional Hardy and Hardy–Littlewood operators and its commutators with symbol from a central mean oscillation space we study conditions for its boundedness from one modified Herz space to another. The sharpness of the result concerning commutators of fractional Hardy–Littlewood operator is established.
Keywords: modified Hardy and Hardy–Littlewood operators, commutator, modified Herz space, $CMO^q$ space.
Received: 11.08.2018
Revised: 11.08.2018
Accepted: 19.12.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 9, Pages 12–21
DOI: https://doi.org/10.3103/S1066369X19090020
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: S. S. Volosivets, B. I. Golubov, “Fractional modified Hardy and Hardy–Littlewood operators and their commutators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 9, 16–26; Russian Math. (Iz. VUZ), 63:9 (2019), 12–21
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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