Results 91 to 100 of about 4,196 (115)

Complex interpolation of grand Lebesgue spaces

Monatshefte Fur Mathematik, 2017
Let \(L^{p)\tau}\) denote the grand Lebesgue space on a finite measure space, \(1< p 0\), as defined in [\textit{L. Greco} et al., Manuscr. Math. 92, No. 2, 249--258 (1997; Zbl 0869.35037)]. Let \([X_0,X_1]_{\theta}\) and \([X_0,X_1]^{\theta}\) be the first and second Calderón's complex interpolation spaces for the the compatible couple of Banach ...
Denny Ivanal Hakim, Yoshihiro Sawano
exaly   +3 more sources

Approximation in weighted generalized grand Lebesgue spaces

Colloquium Mathematicum, 2015
Summary: The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of \(2\pi \)-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved.
Israfilov, Daniyal M., Testici, Ahmet
openaire   +2 more sources

Fully measurable grand Lebesgue spaces

Journal of Mathematical Analysis and Applications, 2015
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ANATRIELLO, GIUSEPPINA, FIORENZA, ALBERTO   +1 more
exaly   +5 more sources

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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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
Stefan G Samko, Salaudin Umarkhadzhiev
exaly   +3 more sources

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 ...
V. Kokilashvili, A. Meskhi
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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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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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Generalization of the notion of grand Lebesgue space

Russian Mathematics, 2014
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