On the basic sequence structure of variable exponent Lebesgue spaces
We study the subsymmetric basic sequence structure of variable exponent Lebesgue spaces $L_{P}$ built from index functions $P\colon\Omega\to(0,\infty]$ on $\sigma$-finite measure spaces $(\Omega,\Sigma,\mu)$. Specifically, we prove that if $P$ is bounded
José L. Ansorena, Glenier Bello
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On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces [PDF]
Ramazan Akgün, Vakhtang Kokilashvili
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Convolutions and best approximations in variable exponent lebesgue spaces
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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Function spaces play a crucial role in the study and application of mathematical inequalities. They provide a structured framework within which inequalities can be formulated, analyzed, and applied.
Waqar Afzal +3 more
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Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [PDF]
Alexandre Almeida +3 more
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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]
Wang C, Jia Z, Zhang Y, Zhao X.
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Asymptotically Weyl almost periodic functions in Lebesgue spaces with variable exponents [PDF]
Marko Kostić
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Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set.
Kinnunen Juha +2 more
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A SIEVE STOCHASTIC GRADIENT DESCENT ESTIMATOR FOR ONLINE NONPARAMETRIC REGRESSION IN SOBOLEV ELLIPSOIDS. [PDF]
Zhang T, Simon N.
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On weighted Bernstein type inequality in grand variable exponent Lebesgue spaces [PDF]
Vakhtang Kokilashvili, Alexander Meskhi
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