Interpolation theorems for variable exponent Lebesgue spaces
Journal of Functional Analysis, 2009 The classical result of Fefferman and Stein about complex interpolation between the Lebesgue space \(L^p\) on \({\mathbb R}^n\) and the spaces \(BMO\) or \(H^1\) is extended to the case of variable exponents \(p(.)\), under the condition that the Hardy-Littlewood maximal operator is bounded in \(L^{p(.)}\).
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Du Bois-Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)-Laplacian on a Bounded Time Scale. [PDF]
Entropy (Basel), 2021 Mawhin J +2 more
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Zhejiang Daxue xuebao. Lixue banWith the help of the boundedness of the n-dimensional fractional Hardy operator and its adjoint operator on Lebesgue space with variable exponent, by applying hierarchical decomposition of function and real variable techniques, we obtain the boundedness ...
辛银萍(XIN Yinping)
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Phase transitions in porous media. [PDF]
Nonlinear Differ Equ Appl, 2022 Gavioli C, Krejčí P.
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Convolutions and best approximations in variable exponent lebesgue spaces
, 2016 In the variable exponent Lebesgue spaces a convolution is defined and its estimations in the variable exponent Lebesgue spaces by the best approximation numbers are obtained.
Israfilov, Daniyal M., Yırtıcı, Elife
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Almost Surely Exponential Convergence Analysis of Time Delayed Uncertain Cellular Neural Networks Driven by Liu Process via Lyapunov-Krasovskii Functional Approach. [PDF]
Entropy (Basel), 2023 Wang C, Jia Z, Zhang Y, Zhao X.
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Nonlinear Fredholm equations in modular function spaces
Electronic Journal of Differential Equations, 2019 We investigate the existence of solutions in modular function spaces of the Fredholm integral equation $$ \Phi(\theta) = g(\theta) + \int^1_0 f(\theta,\sigma, \Phi(\sigma)) \,d\sigma, $$ where $\Phi(\theta), g(\theta)\in L_{\rho}, \theta\in [0,1 ...
Mostafa Bachar
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A SIEVE STOCHASTIC GRADIENT DESCENT ESTIMATOR FOR ONLINE NONPARAMETRIC REGRESSION IN SOBOLEV ELLIPSOIDS. [PDF]
Ann Stat, 2022 Zhang T, Simon N.
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The Fourier transform in variable exponent Lebesgue spaces
In this work we define a Fourier transform for each $f\in L^{p(\cdot)}(\mathbb{R})$, for a large class of exponent functions $p(\cdot)$, as the distributional derivative of a Hölder continuous function. A norm is defined in the space of such Fourier transforms so that it is isometrically isomorphic to $L^{p(\cdot)}(\mathbb{R})$.
Kowacs, André Pedroso +1 more
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On the convergence rate of the Kačanov scheme for shear-thinning fluids. [PDF]
Calcolo, 2022 Heid P, Süli E.
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