Results 151 to 160 of about 6,242,785 (170)

Grand and small norms in Lebesgue spaces

Mathematical Methods in the Applied Sciences, 2023
We present a new approach to the definition of grand and small Lebesgue spaces. This in particular allows to include into consideration the extreme exponents and . Basically, the study of the extreme exponent case is the main result of the article. However, we expect that our general construction for the norms in grand and small Lebesgue spaces will
Evgeny Berezhnoi, Alexey Karapetyants
openaire   +1 more source

Fully measurable grand Lebesgue spaces

Journal of Mathematical Analysis and Applications, 2015
Using variable exponents, we build a new class of rearrangement-invariant Banach function spaces, independent of the variable Lebesgue spaces, whose function norm is ρ(f ) = ess sup_{x∈(0,1)} ρ_{p(x)} (δ(x)f (·)), where ρ_{p(x)} denotes the norm of the ...
A Fiorenza
exaly   +2 more sources

A New Approach to Grand and Small Norms in Discrete Lebesgue Spaces

Mathematical Notes, 2023
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Berezhnoi, E. I., Karapetyants, A. N.
openaire   +1 more source

New properties of small Lebesgue spaces and their applications

Mathematische Annalen, 2003
Let \(n\) be a positive integer and let \(\Omega\) be an open subset of Euclidean space \(\mathbb{R}^n\) with Lebesgue measure \(m\).
FIORENZA, ALBERTO, J. M. Rakotoson
openaire   +2 more sources

Hausdorff operators associated with the Opdam–Cherednik transform in Lebesgue spaces

Journal of Pseudo-Differential Operators and Applications, 2022
Anirudha Poria, Shyam Mondal
exaly  

Atomic decomposition in small Lebesgue space.

2021
D'Onofrio, Luigi, Sbordone, Carlo, Schiattarella, Roberta   +2 more
openaire   +1 more source

On the Factor Opposing the Lebesgue Norm in Generalized Grand Lebesgue Spaces

Results in Mathematics, 2021
Alberto Fiorenza, Maria Rosaria Formica
exaly  

Complex Interpolation of Modified Weighted Grand Lebesgue Spaces

Mediterranean Journal of Mathematics, 2022
Denny Ivanal Hakim, Yoshihiro Sawano
exaly  

On grand Lebesgue spaces on sets of infinite measure

Mathematische Nachrichten, 2017
Stefan Samko, Salaudin Umarkhadzhiev
exaly  

Nonuniform sampling in principal shift-invariant subspaces of mixed Lebesgue spaces Lp,q(Rd+1)

Journal of Mathematical Analysis and Applications, 2017
Qingyue Zhang, Rui Li
exaly