Weighted Stepanov-like pseudo-almost periodic functions in Lebesgue space with variable exponents \(L^{p(x)}\)

zbMath1283.34045MaRDI QIDQ388740

Mohamed Zitane, Tocka Diagana

Publication date: 6 January 2014

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1387313355

zbMATH Keywords

Lebesgue space with variable exponentsweighted pseudo-almost periodicityweighted Stepanov-like pseudo-almost periodicity with variable exponents

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (10)

Almost periodic and asymptotically almost periodic type functions in Lebesgue spaces with variable exponents Lp(x) ⋮ Weighted Stepanov-like pseudo-almost periodic functions in Lebesgue space with variable exponents \(L^{p(x)}\) ⋮ Weighted Stepanov-like pseudo almost periodicity on time scales and applications ⋮ Dynamics analysis of delayed fuzzy Clifford-valued model: a case of Equi-Weyl almost periodic environment ⋮ Existence results of neutral stochastic partial dynamic equations with Stepanov terms on time scales ⋮ Multi-dimensional Weyl almost periodic type functions and applications ⋮ Asymptotically Weyl almost periodic functions in Lebesgue spaces with variable exponents ⋮ Ergodicity in Stepanov-Orlicz spaces ⋮ Unnamed Item ⋮ Weighted ergodic components in \(\mathbb{R}^n\)

Cites Work

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• Weighted Stepanov-like pseudo-almost periodic functions in Lebesgue space with variable exponents \(L^{p(x)}\)
• Composition theorems of Stepanov almost periodic functions and Stepanov-like pseudo-almost periodic functions
• Weighted pseudo almost periodic functions and applications
• Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations
• Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
• New approach for weighted pseudo-almost periodic functions under the light of measure theory, basic results and applications
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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