Results 21 to 30 of about 4,123 (101)
Covariation inequality in Grand Lebesgue Spaces
, 2022 We represent in this preprint the exact estimate for covariation berween two random variables (r.v.), which are measurable relative the corresponding sigma-algebras through anyhow mixing coefficients. We associate a solution of this problem with fundamental function for correspondent rearrangement invariant spaces.
Ostrovsky, E., Sirota, L.
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Cpmposed Grand Lebesgue Spaces
, 2011 In this article we introduce and investigate a new class of rearrangement invariant (r.i.) Banach function spaces, so-called Composed Grand Lebesgue Spaces (CGLS), in particular, Integral Grand Lebesgue Spaces (IGLS), which are some generalizations of known Grand Lebesgue Spaces (GLS). We consider the fundamental functions of CGLS, calculate its Boyd's
Ostrovsky, E., Sirota, L.
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A Decomposition of the Dual Space of Some Banach Function Spaces
Journal of Function Spaces and Applications, 2012 We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
Claudia Capone, Maria Rosaria Formica
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Characterization of interpolation between Grand, small or classical Lebesgue spaces
, 2017 In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally $G\Gamma$-spaces. As a direct consequence of our results any Lorentz-Zygmund space $L^{a,r}({\rm Log}\,
Fiorenza, Aberto +4 more
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A note on boundedness of operators in Grand Grand Morrey spaces
, 2011 In this note we introduce grand grand Morrey spaces, in the spirit of the grand Lebesgue spaces. We prove a kind of \textit{reduction lemma} which is applicable to a variety of operators to reduce their boundedness in grand grand Morrey spaces to the ...
A Almeida +15 more
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Exact constant in Sobolev's and Sobolev's trace inequalities for Grand Lebesgue Spaces [PDF]
, 2010 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.
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Cesaro-Hardy operators on bilateral grand Lebesgue spaces [PDF]
, 2013 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.
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Қарағанды университетінің хабаршысы. Математика сериясы, 2019 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
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Some New Sobolev-Type Theorems for the Rough Riesz Potential Operator on Grand Variable Herz Spaces
MathematicsIn 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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Uniform Central Limit Theorem for martingales [PDF]
, 2014 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.
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