Results 21 to 30 of about 4,121 (107)

Grand Bochner–Lebesgue space and its associate space

Journal of Functional Analysis, 2014
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Kokilashvili, Vakhtang, Meskhi, Alexander, Rafeiro, Humberto   +2 more
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Fully measurable grand Lebesgue spaces

Journal of Mathematical Analysis and Applications, 2015
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ANATRIELLO, GIUSEPPINA, FIORENZA, ALBERTO   +1 more
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On Closed Subspaces of Grand Lebesgue Spaces

Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 2022
We prove a generalized version of a theorem of Grothendieck over finite measure space. We prove a closed subspace of grand Lebesgue space that consist of functions of must be finite dimensional. By using embeddings of Banach spaces and we work inside space . Then we take advantage of many useful properties of Hilbert space.
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Sawyer Duality Principle in Grand Lebesgue Spaces

Doklady Mathematics, 2018
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Jain P., Singh A.P., Singh M., Stepanov V.D.   +3 more
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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
doaj   +1 more source

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, Formica, Maria Rosaria, Gogatishvili, Amiran, Kopaliani, Tengiz, Rakotoson, Jean Michel   +4 more
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Generalizations of Herz-Morrey spaces and boundedness of the Calderón-Zygmund operators

AIMS Mathematics
In this paper, we use the grand variable Herz-Morrey spaces, and our main objective is to prove the boundedness of multilinear Calderón-Zygmund operators on the product of grand variable Herz-Morrey spaces.
Ghada AlNemer, Ghada Ali Basendwah, Mehvish Sultan, Ioan-Lucian Popa   +3 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, A Fiorenza, A Fiorenza, A Fiorenza, A Meskhi, A Meskhi, C Capone, CB Morrey, E Liflyand, F Chiarenza, G Fratta Di, J Duoandikoetxea, L Greco, M Giaquinta, SG Samko, T Iwaniec   +15 more
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