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Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
Georgian Mathematical Journal, 2003Abstract In the weighted Lebesgue space with variable exponent the boundedness of the Calderón–Zygmund operator is established. The variable exponent 𝑝(𝑥) is assumed to satisfy the logarithmic Dini condition and the exponent β of the power weight ρ(𝑥) = |𝑥 – 𝑥0| β is related only to the value 𝑝(𝑥0).
Kokilashvili, V., Samko, S.
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Precompact Sets in Bochner–Lebesgue Spaces with Variable Exponent
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Xu
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Lebesgue and Sobolev Spaces with Variable Exponents
2011Diening, Lars +3 more
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Polynomial Inequalities in Lebesgue Spaces with Variable Exponents on the Sphere
The Journal of Geometric Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongwei Huang, Heping Wang
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Integrability of maximal functions for generalized Lebesgue spaces with variable exponent
Mathematische Nachrichten, 2008Yoshihiro Mizuta +2 more
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Precompact sets in matrix weighted Lebesgue spaces with variable exponent
Georgian Mathematical JournalIn this paper, we first give a sufficient condition for precompactness in the matrix-weighted Lebesgue spaces with variable exponent by translation.
Shengrong Wang, Pengfei Guo, Jingshi Xu
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Variable Exponent Lebesgue Spaces
2011In this chapter we define Lebesgue spaces with variable exponents, \(L^{p(.)}\). They differ from classical \(L^p\) spaces in that the exponent p is not constant but a function from Ω to \([1,\infty]\). The spaces \(L^{p(.)}\) fit into the framework of Musielak–Orlicz spaces and are therefore also semimodular spaces.
Lars Diening +3 more
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Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent
Applicable Analysis, 2019The approximation properties of the matrix transforms, constructed via lower triangular matrices, satisfying some additional conditions, in the generalized grand Lebesgue spaces with variable exponent are studied and the appropriate rates of ...
A. Testici, D. Israfilov
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