Results 91 to 100 of about 126 (109)

Hausdorff Operator on Weighted Lebesgue and Grand Lebesgue p-Adic Spaces

p-Adic Numbers, Ultrametric Analysis and Applications, 2019
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Bandaliyev R.A., Volosivets S.S.
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GRAND LEBESGUE SPACES ON QUASI-METRIC MEASURE SPACES OF INFINITE MEASURE

Journal of Mathematical Sciences, 2023
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V. Guliyev, S. Samko, S. Umarkhadzhiev
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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, Monika Singh, Arun Pal Singh   +2 more
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EMBEDDING OF GRAND CENTRAL MORREY-TYPE SPACES INTO LOCAL GRAND WEIGHTED LEBESGUE SPACES

Journal of Mathematical Sciences, 2022
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Riesz Fractional Integrals in Grand Lebesgue Spaces on ℝn

Fractional Calculus and Applied Analysis, 2016
We introduce conditions on the construction of grand Lebesgue spaces on R-n which imply the validity of the Sobolev theorem for the Riesz fractional integrals I-alpha and the boundedness of the maximal operator, in such spaces. We also give an inversion of the operator I-alpha by means of hypersingular integrals, within the frameworks of the introduced
Samko, Stefan, Umarkhadzhiev, Salaudin
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Generalization of the notion of grand Lebesgue space

Russian Mathematics, 2014
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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, Alberto Fiorenza, Alexander Meskhi   +2 more
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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, Singh, Arun Pal, Singh, Monika, Stepanov, Vladimir D.   +3 more
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Singular Integrals and Potentials in Grand Lebesgue Spaces

2016
This chapter deals with mapping properties of maximal, singular integral, and potential operators in weighted generalized grand Lebesgue spaces. Weak and strong type weighted inequalities criteria for these operators (including similar integral transform with product kernels) are established.
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko   +3 more
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Inequalities with conjugate exponents in grand Lebesgue spaces

2013
In this paper we want to show the validity of the generalized doubleparametric Hilbert inequality with conjugate exponents in the framework of grand Lebesgue spaces as a particular case of a more general result involving an homogeneous kernel. We also study the boundedness of an integral operator with the aforementioned kernel.
CASTİLLO, René Erlín, RAFEİRO, Humberto   +1 more
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