Results 11 to 20 of about 75,467 (278)

Coincidence of Variable Exponent Herz Spaces with Variable Exponent Morrey Type Spaces and Boundedness of Sublinear Operators in these Spaces

Potential Analysis, 2021
For bounded variable exponents \(p(\cdot):\mathbb{R}^n\to[1,\infty)\) and \(q(\cdot):\mathbb{R}_+\to[1,\infty)\), consider the corresponding variable exponent Lebesgue spaces \(L^{p(\cdot)}(\mathbb{R}^n)\) and \(L^{q(\cdot)}(\mathbb{R}_+,\frac{dt}{t})\), respectively.
Rafeiro, Humberto, Samko, Stefan
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Malliavin Derivatives in Spaces with Variable Exponents [PDF]

Journal of Function Spaces, 2014
Spaces with variable exponentsLpx(H,μ)andLpx(H,μ;H)are introduced. After discussing some approximation results ofLpx(H,μ), Sobolev spaces onHwith variable exponents are introduced. At last, we define Malliavin derivatives inLpx(H,μ)and discuss some properties of Malliavin derivatives inLpx(H,μ).
Bochi Xu, Yongqiang Fu, Boping Tian
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On the structure of variable exponent spaces [PDF]

Indagationes Mathematicae, 2020
The first part of this paper surveys several results on the lattice structure of variable exponent Lebesgue function spaces (or Nakano spaces) $\lpv$. In the second part strictly singular and disjointly strictly singular operators between spaces $\lpv$ are studied.
Julio Flores, Francisco L. Hernández, César Ruiz, Mauro Sanchiz   +3 more
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A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

Open Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
doaj   +1 more source

A Note on Variable Exponent Hörmander Spaces [PDF]

Mediterranean Journal of Mathematics, 2013
[EN] In this paper we introduce the variable exponent Hormander spaces and we study some of their properties. In particular, it is shown that is isomorphic to (Omega open set in and the Hardy-Littlewood maximal operator M is bounded in extending a Hormander's result to our context. As a consequence, a number of results on sequence space representations
Motos, Joaquín, Planells, María Jesús, Talavera, César Felix   +2 more
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Lorentz spaces with variable exponents [PDF]

Mathematische Nachrichten, 2013
We introduce Lorentz spaces and with variable exponents. We prove several basic properties of these spaces including embeddings and the identity . We also show that these spaces arise through real interpolation between and . Furthermore, we answer in a negative way the question posed in whether the Marcinkiewicz interpolation theorem holds in the ...
Kempka, Henning, Vybíral, Jan
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Triebel--Lizorkin type spaces with variable exponents [PDF]

Banach Journal of Mathematical Analysis, 2015
In this article, the authors first introduce the Triebel-Lizorkin-type space $F_{p(\cdot),q(\cdot)}^{s(\cdot),ϕ}(\mathbb R^n)$ with variable exponents, and establish its $φ$-transform characterization in the sense of Frazier and Jawerth, which further implies that this new scale of function spaces is well defined.
Yang, Dachun, Zhuo, Ciqiang, Yuan, Wen
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Calderón Operator on Local Morrey Spaces with Variable Exponents

Mathematics, 2021
In this paper, we establish the boundedness of the Calderón operator on local Morrey spaces with variable exponents. We obtain our result by extending the extrapolation theory of Rubio de Francia to the local Morrey spaces with variable exponents.
Kwok-Pun Ho
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Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative

Journal of Function Spaces, 2021
In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces.
Leonardo Fabio Chacón-Cortés, Humberto Rafeiro   +1 more
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Variable Exponent Sobolev Spaces and Regularity of Domains [PDF]

The Journal of Geometric Analysis, 2020
AbstractWe study the embeddings of variable exponent Sobolev and Hölder function spaces over Euclidean domains, providing necessary and/or sufficient conditions on the regularity of the exponent and/or the domain in various contexts. Concerning the exponent, the relevant condition is log-Hölder continuity; concerning the domain, the relevant condition ...
Górka, P., Karak, N., Pons, D.
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