Results 31 to 40 of about 4,123 (101)

Moser–Trudinger inequality in grand Lebesgue space

Rendiconti Lincei, Matematica e Applicazioni, 2015
Let n \in \mathbb N , n ≥ 2 and let \Omega \subset \mathbb R^n be a bounded ...
openaire   +1 more source

Poincar�� Inequalities in Bilateral Grand Lebesgue Spaces

, 2009
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.
openaire   +2 more sources

Central Limit Theorem in Holder spaces in the terms of majorizing measures [PDF]

, 2014
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  

Sobolev embeddings in grand variable Herz-Morrey Besov spaces

Boundary Value Problems
This paper develops a comprehensive framework for the study of grand variable Herz-Morrey Besov spaces with variable smoothness and integrability.
Babar Sultan, Amjad Hussain
doaj   +1 more source

The forgotten parameter in grand Lebesgue spaces

, 2023
Let ...
Capone C., Fiorenza A.
openaire   +3 more sources

Restricted version of Grand Lebesgue Spaces

, 2019
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., Ostrovsky, E., Sirota, L.   +2 more
openaire   +2 more sources

Boundedness of commutators of variable Marcinkiewicz fractional integral operator in grand variable Herz spaces

Journal of Inequalities and Applications
Let S n − 1 $\mathbb{S}^{n-1}$ denote unit sphere in R n $\mathbb{R}^{n}$ equipped with the normalized Lebesgue measure. Let Φ ∈ L s ( S n − 1 ) $\Phi \in L^{s}(\mathbb{S}^{n-1})$ be a homogeneous function of degree zero such that ∫ S n − 1 Φ ( y ′ ) d σ
Babar Sultan, Mehvish Sultan, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source

Fundamental function for Grand Lebesgue Spaces

, 2015
We investigate in this short article the fundamental function for the so-called Grand Lebesgue Spaces (GLS) and show in particular a one-to-one and mutually continuous accordance between its fundamental and generating function.
Ostrovsky, E., Sirota, L.
openaire   +2 more sources

Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj   +1 more source

Duality of fully measurable grand Lebesgue space

Transactions of A. Razmadze Mathematical Institute, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jain, Pankaj, Singh, Monika, Singh, Arun Pal   +2 more
openaire   +2 more sources