Results 31 to 40 of about 4,121 (107)
Exact constant in Sobolev's and Sobolev's trace inequalities for Grand Lebesgue Spaces [PDF]
In this article we generalize the classical Sobolev's and Sobolev's trace inequalities on the Grand Lebesgue Spaces instead the classical Lebesgue Spaces. We will distinguish the classical Sobolev's inequality and the so-called trace Sobolev's inequality.
Ostrovsky, E., Rogover, E., Sirota, L.
core
Cesaro-Hardy operators on bilateral grand Lebesgue spaces [PDF]
We obtain in this short article the non-asymptotic estimations for the norm of (generalized) Cesaro-Hardy integral operators in the so-called Bilateral Grand Lebesgue Spaces.
Ostrovsky, E., Sirota, L.
core
In this work, first of all, Lpw),Ө (T) weighted grand Lebesgue spaces and Muckenhoupt weights is defined. The information about properties of these spaces is given. Let Tn be the trigonometric polynomial of best approximation.
Sadulla Z. Jafarov
doaj
Central Limit Theorem in Holder spaces in the terms of majorizing measures [PDF]
We obtain some sufficient conditions for the Central Limit Theorem for the random processes (fields) with values in the separable part of Holder space in the modern terms of majorizing (minorizing) measures, belonging to X.Fernique and M.Talagrand.
Ostrovsky, E., Sirota, L.
core
Moser–Trudinger inequality in grand Lebesgue space
Let n \in \mathbb N , n ≥ 2 and let \Omega \subset \mathbb R^n be a bounded ...
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Poincar�� Inequalities in Bilateral Grand Lebesgue Spaces
In this paper we obtain the non - asymptotic estimations of Poincare type between function and its gradient in the so - called Bilateral Grand Lebesgue Spaces. We also give some examples to show the sharpness of these inequalities.
Ostrovsky, E., Sirota, L., Rogover, E.
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Uniform Central Limit Theorem for martingales [PDF]
We study some sufficient conditions imposed on the sequence of martingale differences (m.d.) in the separable Banach spaces of continuous functions defined on the metric compact set for the Central Limit Theorem in this space.
Sirota, L.
core
Some New Sobolev-Type Theorems for the Rough Riesz Potential Operator on Grand Variable Herz Spaces
In this paper, our first objective is to define the idea of grand variable Herz spaces. Then, our main goal is to prove boundedness results for operators, including the rough Riesz potential operator of variable order and the fractional Hardy operators ...
Ghada AlNemer +3 more
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The forgotten parameter in grand Lebesgue spaces
Let ...
Capone C., Fiorenza A.
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Restricted version of Grand Lebesgue Spaces
We introduce a so-called restricted, in particular, discrete version of (Banach) Grand Lebesgue Spaces (GLS), investigate its properties and derive the conditions of coincidence with the classical ones. We show also that these spaces forms also a Banach algebra relative the convolution operation on the unimodular local compact topological group ...
Formica, M. R. +2 more
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