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Extrapolation in Grand Lebesgue Spaces with A∞ Weights

Mathematical Notes, 2018
Results on extrapolation withA∞ weights in grand Lebesgue spaces are obtained. Generally, these spaces are defined with respect to the productmeasure μ1 ×· · ·×μn onX1 ×· · ·×Xn, where (Xi, di, μi), i = 1,..., n, are spaces of homogeneous type. As applications of the obtained results, new one-weight estimates with A∞ weights for operators of harmonic ...
Vakhtang Kokilashvili
exaly   +2 more sources

GRAND LEBESGUE SPACES ON QUASI-METRIC MEASURE SPACES OF INFINITE MEASURE

Journal of Mathematical Sciences, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Guliyev, S. Samko, S. Umarkhadzhiev
openaire   +1 more source

EMBEDDING OF GRAND CENTRAL MORREY-TYPE SPACES INTO LOCAL GRAND WEIGHTED LEBESGUE SPACES

Journal of Mathematical Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Generalization of the notion of grand Lebesgue space

Russian Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Recent Trends in Grand Lebesgue Spaces

2017
The aim of this paper is two fold. Since their inception in 1992, we collect various generalizations of the grand Lebesgue spaces touching upon several of their aspects such as properties, duality, equivalent norms etc. Also, we prove certain new extrapolation results of the type of Rubio De Francia in the framework of fully measurable grand Lebesgue ...
Pankaj Jain   +2 more
openaire   +1 more source

Grand Lebesgue spaces without grandizers

Georgian Mathematical Journal
Abstract We adapt the standard norm of grand Lebesgue spaces (Euclidean case, Lebesgue measure) to the case of functions defined on a domain Ω with possibly infinite measure, basically dropping the mean in the integral appearing in the norm of Lebesgue spaces.
Claudia Capone   +2 more
openaire   +1 more source

Sawyer's duality principle for grand Lebesgue spaces

Mathematische Nachrichten, 2018
AbstractThe aim of this paper is to extend Sawyer's duality principle from the cone of decreasing functions of the Lebesgue space to the cone of decreasing functions of the grand Lebesgue space and to prove the boundedness of classical Hardy operators in the grand Lebesgue spaces.
Jain, Pankaj   +3 more
openaire   +2 more sources

Fractional integrals with measure in grand Lebesgue and Morrey spaces

Integral Transforms and Special Functions, 2021
Vakhtang Kokilashvili   +1 more
exaly  

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