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Matematicheskie Zametki, 2017, Volume 102, Issue 5, Pages 721–735
DOI: https://doi.org/10.4213/mzm11643 (Mi mzm11643) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Boundedness of Sublinear Operators in Weighted Grand Morrey Spaces

V. M. Kokilashvilia, A. N. Meskhiab, H. Rafeiroc

a Andrea Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University
b Georgian Technical University
c Pontificia Universidad Javeriana
Full-text PDF (531 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm11643
Abstract: The boundedness of sublinear integral operators in grand Morrey spaces defined by means of measures generated by the Muckenhoupt weights is established. The operators under consideration involve operators of Harmonic Analysis such as Hardy–Littlewood and fractional maximal operators, Calderón–Zygmund operators, potential operators etc.
Keywords: sublinear operators, weighted Morrey spaces, spaces of homogeneous type, weighted inequality, singular integrals, fractional integrals.
Funding agency Grant number
Pontificia Universidad Javeriana, Colombia ID-PRJ 6576
The work of the third-named author was supported in part by the research project “Study of boundedness of operators in generalized Morrey spaces”, ID-PRJ: 6576 of the Faculty of Sciences of Pontificia Universidad Javeriana, Bogota, Colombia.
Received: 10.04.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 5, Pages 664–676
DOI: https://doi.org/10.1134/S0001434617110062
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. M. Kokilashvili, A. N. Meskhi, H. Rafeiro, “Boundedness of Sublinear Operators in Weighted Grand Morrey Spaces”, Mat. Zametki, 102:5 (2017), 721–735; Math. Notes, 102:5 (2017), 664–676
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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