Variable Exponent Spaces of Analytic Functions
, 2020 Variable exponent spaces are a generalization of Lebesgue spaces in which the exponent is a measurable function. Most of the research done in this topic has been situated under the context of real functions. In this work, we present two examples of variable exponent spaces of analytic functions: variable exponent Hardy spaces and variable exponent ...
Gerardo R. Chacón, Gerardo A. Chacon
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Advanced Biology, EarlyView.Positively supercharged mGreenLatern protein is self‐assembled electrostatically with negatively charged zinc phthalocyanines to yield bio‐based photoactive materials in aqueous media. The addition of phthalocyanines results in the formation of large complexes fully quenching of the protein fluorescence. The results indicate an energy transfer from the
Sharon Saarinen +10 more
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A characterization of rough fractional type integral operators and Campanato estimates for their commutators on the variable exponent vanishing generalized Morrey spaces [PDF]
arXiv, 2018 In this paper, applying some properties of variable exponent analysis, we first dwell on Adams and Spanne type estimates for a class of fractional type integral operators of variable orders, respectively and then, obtain variable exponent generalized Campanato estimates for the corresponding commutators on the vanishing generalized Morrey spaces $VL_ ...
arxiv
Existence of positive solutions for p(x)-Laplacian equations with a singular nonlinear term
Electronic Journal of Differential Equations, 2014 In this article, we study the existence of positive solutions for the p(x)-Laplacian Dirichlet problem $$ -\Delta _{p(x)}u=\lambda f(x,u) $$ in a bounded domain $\Omega \subset \mathbb{R}^{N}$.
Jingjing Liu, Qihu Zhang, Chunshan Zhao
doaj
Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [PDF]
arXiv, 2012 We prove optimal integrability results for solutions of the $p(\cdot)$-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials maps $L^1$ to variable exponent weak Lebesgue spaces.
arxiv
The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents [PDF]
arXivLet a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted grand Herz-Morrey spaces with variable exponents. Next we introduce weighted grand Herz-Morrey-Triebel-Lizorkin spaces with variable exponents and provide their equivalent quasi ...
arxiv
Anisotropic Hardy-Lorentz spaces with variable exponents [PDF]
arXiv, 2016 In this paper we introduce Hardy-Lorentz spaces with variable exponents associated to dilation in ${\Bbb R}^n$. We establish maximal characterizations and atomic decompositions for our variable exponent anisotropic Hardy-Lorentz spaces.
arxiv
Commutators of singular integrals on generalized $L^p$ spaces with variable exponent [PDF]
, 2005 Alexei Yu. Karlovich, Andrei K. Lerner
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Martingale transforms in martingale Hardy spaces with variable exponents
AIMS MathematicsIn this paper, we considered the boundedness of Burkholder's martingale transforms for martingale Hardy spaces with variable exponents. In addition, through martingale transforms, some characterizations of predictable variable exponent martingale Hardy ...
Tao Ma , Jianzhong Lu, Xia Wu
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Existence and a priori estimates of solutions for quasilinear singular elliptic systems with variable exponents [PDF]
arXiv, 2017 This article sets forth results on the existence, a priori estimates and boundedness of positive solutions of a singular quasilinear systems of elliptic equations involving variable exponents. The approach is based on Schauder's fixed point Theorem.
arxiv