Results 41 to 50 of about 4,121 (107)

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

Variable Hardy Spaces [PDF]

, 2012
We develop the theory of variable exponent Hardy spaces. Analogous to the classical theory, we give equivalent definitions in terms of maximal operators.
Cruz-Uribe, David, SFO, Wang, Li-An Daniel   +2 more
core  

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

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

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

Classical non-linear operators in Grand Lebesgue Spaces

, 2021
We study in this short report the boundedness of classical non-linear operators: Nemytskii, Urysohn, Hammerstein acting from one Grand Lebesgue Space to another one, and deduce some its upper norm estimates. We bring also some examples to illustrate the exactness of our estimates.
Formica, M. R., Ostrovsky, E., Sirota, L.   +2 more
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

Trigonometric approximation in Sobolev-Grand Lebesgue Spaces

, 2016
We study in this short preprint the theory of trigonometric approximation in the so-called Banach functional rearrangement invariant Sobolev-Grand Lebesgue Spaces.
Ostrovsky, E., Sirota, L.
openaire   +2 more sources

Gull's Theorem Revisited. [PDF]

Entropy (Basel), 2022
Gill RD.
europepmc   +1 more source

Oscillating Operators in Bilateral Grand Lebesgue Spaces

, 2009
In this paper we obtain the non - asymptotic estimations for oscillating integral operators in the so - called Bilateral Grand Lebesgue Spaces. We also give examples to show the sharpness of these inequalities.
Ostrovsky, E., Sirota, L.
openaire   +2 more sources