Results 21 to 30 of about 3,615 (292)
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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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 +3 more
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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
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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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Variable exponent Triebel-Lizorkin-Morrey spaces [PDF]
, 2020 We introduce variable exponent versions of Morreyfied Triebel-Lizorkin spaces. To that end, we prove an important convolution inequality which is a replacement for the Hardy-Littlewood maximal inequality in the fully variable setting.
Kempka, Henning, Caetano, António
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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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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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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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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 +1 more
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Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces [PDF]
, 2021 We study a characterization of the precompactness of sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally bounded sets are characterized from several points of view for the case of variable exponent Morrey spaces over metric ...
Bandaliyev R.A. +3 more
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