Boundedness of sublinear operators in weighted grand Morrey spaces

V. Kokilashvili; A. Meskhi; H. Rafeiro

doi:10.1134/S0001434617110062

Boundedness of sublinear operators in weighted grand Morrey spaces

V. Kokilashvili, A. Meskhi, H. Rafeiro

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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, Calderoń–Zygmund operators, potential operators etc.

Original language	English
Pages (from-to)	664-676
Number of pages	13
Journal	Mathematical Notes
Volume	102
Issue number	5-6
DOIs	https://doi.org/10.1134/S0001434617110062
Publication status	Published - Nov 1 2017
Externally published	Yes

Keywords

fractional integrals
singular integrals
spaces of homogeneous type
sublinear operators
weighted Morrey spaces
weighted inequality

ASJC Scopus subject areas

Mathematics(all)

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10.1134/S0001434617110062

Cite this

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title = "Boundedness of sublinear operators in weighted grand Morrey spaces",

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, Caldero{\'n}–Zygmund operators, potential operators etc.",

keywords = "fractional integrals, singular integrals, spaces of homogeneous type, sublinear operators, weighted Morrey spaces, weighted inequality",

author = "V. Kokilashvili and A. Meskhi and H. Rafeiro",

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AU - Kokilashvili, V.

AU - Meskhi, A.

AU - Rafeiro, H.

N1 - Funding Information: 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. Publisher Copyright: © 2017, Pleiades Publishing, Ltd.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - 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, Calderoń–Zygmund operators, potential operators etc.

AB - 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, Calderoń–Zygmund operators, potential operators etc.

KW - fractional integrals

KW - singular integrals

KW - spaces of homogeneous type

KW - sublinear operators

KW - weighted Morrey spaces

KW - weighted inequality

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JO - Mathematical Notes

JF - Mathematical Notes

IS - 5-6

ER -

Boundedness of sublinear operators in weighted grand Morrey spaces

Abstract

Keywords

ASJC Scopus subject areas

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