Results 271 to 280 of about 5,632,634 (320)

BASICITY OF A PERTURBED SYSTEM OF EXPONENTS IN LEBESGUE SPACES WITH A VARIABLE SUMMABILITY EXPONENT

Baku Mathematical Journal, 2022
In this paper a system of exponents 1 is considered, where is some polynomial of degree m, m ∈ N. It is proved that under certain conditions on the exponent p (·) the basicity of this system in a Lebesgue space with a variable summability exponent Lp(·) (−π, π) depends on the coefficient αm−1 and m.
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A supercritical variable exponent problem

Journal of Mathematical Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aghajani, A., Cowan, C.
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Calderón-Zygmund estimates for elliptic double phase problems with variable exponents

, 2020
We study a nonlinear elliptic double phase problem with variable exponents to prove Calderon-Zygmund estimates under minimal regularity requirements on the nonlinearities.
Sun-Sig Byun, Ho-Sik Lee
semanticscholar   +1 more source

Variable-order fractional Sobolev spaces and nonlinear elliptic equations with variable exponents

, 2020
A new fractional function space Xk(⋅),α(⋅)(Ω) with variable exponents k, α and its relaxed properties are established in this paper. Under this configuration, the comparison principle of the fractional α(⋅)-Laplace operator and a priori estimate of weak ...
Yi Cheng, B. Ge, R. Agarwal
semanticscholar   +1 more source

Uniform Approximation by Polynomials with Variable Exponents

Canadian Journal of Mathematics, 1983
We examine questions related to approximating functions by sums of the formWe focus on approximations to functions given by the integral transformationwhere γ is a positive measure. Approximations to this class of functions (Laplace transforms in the variable — lnx) are particularly well behaved (see Theorem 1).
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Variable domains and variable relevance: interpreting phonetic exponents

Journal of Phonetics, 2003
Abstract Spoken language is a resource which is systematically deployed in the management of social interaction, its primary site of occurrence. The patterns and structures in language are emergent properties of, and shaped by, the contingencies and demands of social interaction. However, despite significant advances in modeling speech perception and
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Existence of Solutions for a Critical Choquard–Kirchhoff Problem with Variable Exponents

Journal of Geometric Analysis, 2023
Youpei Zhang, Dongdong Qin
semanticscholar   +1 more source

Variable Exponent Lebesgue Spaces

2011
In this chapter we define Lebesgue spaces with variable exponents, \(L^{p(.)}\). They differ from classical \(L^p\) spaces in that the exponent p is not constant but a function from Ω to \([1,\infty]\). The spaces \(L^{p(.)}\) fit into the framework of Musielak–Orlicz spaces and are therefore also semimodular spaces.
Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Růžička   +3 more
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Sublinear operators on weighted Hardy spaces with variable exponents

Forum mathematicum, 2019
We establish the mapping properties for some sublinear operators on weighted Hardy spaces with variable exponents by using extrapolation. In particular, we study the Calderón–Zygmund operators, the maximal Bochner–Riesz means, the intrinsic square ...
K. Ho
semanticscholar   +1 more source

Variable exponent Bergman spaces

Nonlinear Analysis: Theory, Methods & Applications, 2014
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Gerardo R. Chacón, Humberto Rafeiro
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