Results 31 to 40 of about 150 (128)

Sobolev type inequalities in ultrasymmetric spaces with applications to Orlicz‐Sobolev embeddings

Journal of Function Spaces, Volume 3, Issue 2, Page 183-208, 2005., 2005
Let Dkf mean the vector composed by all partial derivatives of order k of a function f(x), x ∈ Ω ⊂ ℝn. Given a Banach function space A, we look for a possibly small space B such that ‖f‖B≤c‖|Dkf|‖A for all f∈C0k(Ω). The estimates obtained are applied to ultrasymmetric spaces A = Lφ,E, B = Lψ,E, giving some optimal (or rather sharp) relations between ...
Evgeniy Pustylnik, Lech Maligranda
wiley   +1 more source

Hardy–Hilbert Inequalities in Weighted Morrey Spaces: Commutators and Applications to Fractional PDEs on Bounded Domains for Financial Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we develop Hardy–Hilbert‐type integral estimates in weighted Morrey spaces on bounded domains and study the associated commutators with BMO symbols. The analysis is positioned relative to existing weighted Morrey estimates for fractional and rough operators, and the hypotheses needed for the fractional‐integral reduction are stated ...
Philip Ajibola Bankole, Mohsin Nasir, Sina Etemad, Smritijit Sen   +3 more
wiley   +1 more source

Extensions of the Hardy‐Littlewood inequalities for Schwarz symmetrization

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3129-3150, 2004., 2004
For a class of functions H:(0,∞)×ℝ+2→ℝ, including discontinuous functions of Carathéodory type, we establish that ∫ℝNH(|x|,u(x),v(x))dx≤∫ℝNH(|x|,u*(x),v*(x))dx, where u*(x) and v*(x) denote the Schwarz symmetrizations of nonnegative functions u and v.
H. Hajaiej, C. A. Stuart
wiley   +1 more source

Hardy Inequality in Variable Exponent Lebesgue Spaces [PDF]

, 2007
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue ...
Stefan Samko, Diening, Lars ; https://orcid.org/, Samko, Stefan G., Diening, Lars, Samko, Stefan, Lars Diening   +5 more
core  

On the solvability of parabolic and hyperbolic problems with a boundary integral condition

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 4, Page 201-213, 2002., 2002
We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function spaces, and on the density of the range of the linear ...
Abdelfatah Bouziani
wiley   +1 more source

Solvability of Implicit Fractional Systems With Nonlocal Conditions in Weighted Functional Spaces

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This paper investigates the existence and uniqueness of solutions for a class of nonlinear implicit Riemann–Liouville fractional integro‐differential equations subject to nonlocal conditions in a weighted Banach space. The inclusion of both implicit effects and nonlocal terms introduces additional complexity, making the analysis both challenging and ...
Abdulrahman A. Sharif, Maha M. Hamood, Kirtiwant P. Ghadle, Sining Zheng   +3 more
wiley   +1 more source

On weighted spaces without a fundamental sequence of bounded sets

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 449-457, 2002., 2002
The problem of countably quasi‐barrelledness of weighted spaces of continuous functions, of which there are no results in the general setting of weighted spaces, is tackled in this paper. This leads to the study of quasi‐barrelledness of weighted spaces in which, unlike that of Ernst and Schnettler (1986), though with a similar approach, we drop the ...
J. O. Olaleru
wiley   +1 more source

Establishment of clinical criteria for the diagnosis of adverse food reactions in dogs with atopic dermatitis

Veterinary Dermatology, Volume 35, Issue 4, Page 418-431, August 2024.
Background – Diagnosis of canine adverse food reactions (AFRs) is based on vague criteria, such as ‘>50% improvement’ during elimination diet trial (EDT) followed by ‘deterioration’ during provocation test (PT). Objective – The objective of the study was to use predefined criteria to evaluate response during EDT [i.e., Owner Global Assessment of ...
Evi I. Sofou, Svetlina Aleksandrova, Manolis Chatzis, Elisa Samuel (Badulescu), Manolis N. Saridomichelakis   +4 more
wiley   +1 more source

Estimates for p-adic multilinear Hardy–Littlewood operators on variable Morrey–Herz spaces

Open Mathematics
We obtain some necessary and sufficient conditions for the boundedness of the p-adic multilinear Hardy–Littlewood operators Hφ,n,m ${\mathcal{H}}_{\varphi ,n,m}$ on the p-adic Morrey–Herz spaces ∏i=1mMK̇ℓ,qi(⋅),ωiαi(⋅),λiQpn $\prod _{i=1}^{m}{M \dot {K}}
Thuy Pham Thi Kim, Dung Kieu Huu, Nang Tran Thi   +2 more
doaj   +1 more source

Weighted Variable Exponent Sobolev spaces on metric measure spaces

Moroccan Journal of Pure and Applied Analysis, 2018
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj   +1 more source