[PDF][PDF] On grand and small Lebesgue and Sobolev spaces and some applications to PDE's

A Fiorenza, MR Formica, A Gogatishvili - Differ. Equ. Appl, 2018 - researchgate.net
This paper is essentially a survey on grand and small Lebesgue spaces, which are
rearrangement-invariant Banach function spaces of interest not only from the point of view of …

Inclusions and the approximate identities of the generalized grand Lebesgue spaces

AT GÜRKANLI - Turkish Journal of Mathematics, 2018 - journals.tubitak.gov.tr
Inclusions and the approximate identities of the generalized grand Lebesgue spaces Page 1
Turkish Journal of Mathematics Volume 42 Number 6 Article 29 1-1-2018 Inclusions and the …

On the factor opposing the Lebesgue norm in generalized grand Lebesgue spaces

A Fiorenza, MR Formica - Results in Mathematics, 2021 - Springer
We prove that if 1< p< ∞ 1< p<∞ and δ: 0, p-1 → 0, ∞ δ: 0, p-1→ 0,∞ is continuous,
nondecreasing, and satisfies the Δ _2 Δ 2 condition near the origin, then This result permits …

Recent trends in grand Lebesgue spaces

P Jain, M Singh, AP Singh - Function Spaces and Inequalities: New Delhi …, 2017 - Springer
The aim of this paper is two fold. Since their inception in 1992, we collect various
generalizations of the grand Lebesgue spaces touching upon several of their aspects such …

Multipliers of grand and small Lebesgue spaces

AT Gurkanli - arXiv preprint arXiv:1903.06743, 2019 - arxiv.org
Let $ G $ a locally compact abelian group with Haar measure $\mu $ and let $1< p<\infty. $
In the present paper we determine necessary and sufficient conditions on $ G $ for the grand …

On Hardy type inequalities in grand Lebesgue spaces Lp) for 0 < p ≤ 1

RA Bandaliyev, KH Safarova - Linear and Multilinear Algebra, 2022 - Taylor & Francis
In this paper, we prove the boundedness of Hardy operator for monotone functions in grand
Lebesgue spaces L p)(0, 1)(0< p≤ 1). In particular, we prove similar results for the Hardy …

On the grand Wiener amalgam spaces

AT Gürkanlı - 2020 - projecteuclid.org
We define the grand Wiener amalgam space by using the classical Wiener amalgam space
and the generalized grand Lebesgue space. Moreover we study the inclusions between …

Enteropatía Biliar y su Tratamiento Quirúrgico, Íleobiliar Caso Inusual de Obstrucción Intestinal, Reporte de Caso

JEP Taracena, EIV Leyva - Ciencia Latina Revista Científica …, 2023 - ciencialatina.org
El íleo biliar es una complicación infrecuente, caracterizada por datos clínicos de oclusión
intestinal, siendo el 4% de las causas de obstrucción intestinal en la población en general …

Hilbert inequality on grand function spaces

P Jain, M Singh - Ricerche di Matematica, 2018 - Springer
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SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Ricerche di …

New properties of grand amalgam spaces

AT Gurkanli - arXiv preprint arXiv:1901.07282, 2019 - arxiv.org
In $\left [14\right] $, a new family called grand amalgam space $ W (L^{p),\theta},
L^{q),\theta}) $ of amalgam spaces was defined and investigated properties of these spaces …