Results 31 to 40 of about 144 (124)
Some Multiplier Sequence Spaces Over n-Normed Spaces Defined by a Musielak–Orlicz Function [PDF]
In the present paper we introduce some multiplier sequence spaces over n-normed spaces defined by a Musielak–Orlicz function M = (Mk). We also study some topological properties and some inclusion relations between these spaces.
Sharma, Sunil K., Raj, Kuldip
core +1 more source
Extensions of the Hardy‐Littlewood inequalities for Schwarz symmetrization
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
On the solvability of parabolic and hyperbolic problems with a boundary integral condition
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
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 +3 more
wiley +1 more source
On weighted spaces without a fundamental sequence of bounded sets
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
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 +4 more
wiley +1 more source
Commutators in real interpolation with quasi‐power parameters
The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi‐power parameters, that is, the function spaces on which Hardy inequalities are valid. This theorem unifies and extends various results given by Cwikel, Jawerth, Milman, Rochberg, and others, and incorporates some results of Kalton to the
Ming Fan
wiley +1 more source
Hardy Inequality in Variable Exponent Lebesgue Spaces [PDF]
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 +5 more
core
Capacity solution for an elliptic coupled system with lower term in Orlicz spaces [PDF]
In this paper, we will deal with the capacity solution for a nonlinear elliptic coupled system with a Leray-Lions operator Au = −div σ(x, u, ∇u) acting from Orlicz-Sobolev spaces W10LM (Ω) into its dual, where M is an N -function.
AHAKKOUD, Yassine +2 more
core +1 more source
Lipschitz measures and vector‐valued Hardy spaces
We define certain spaces of Banach‐valued measures called Lipschitz measures. When the Banach space is a dual space X*, these spaces can be identified with the duals of the atomic vector‐valued Hardy spaces HXp(ℝn), 0 < p < 1. We also prove that all these measures have Lipschitz densities.
Magali Folch-Gabayet +2 more
wiley +1 more source

