Results 31 to 40 of about 14,407 (185)
Rough Hausdorff operators on Lebesgue spaces with variable exponent
Annals of Functional Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ziwei Li, Jiman Zhao
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Fractional integrals and derivatives: mapping properties [PDF]
, 2016 This survey is aimed at the audience of readers interested in the information on mapping properties of various forms of fractional integration operators, including multidimensional ones, in a large scale of various known function spaces.As is well known,
Rafeiro, Humberto, Samko, Stefan
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Abstract and Applied Analysis, 2013 We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.
Hui-Ling Wu, Jia-Cheng Lan
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Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces
Journal of Function Spaces and Applications, 2012 We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and ...
Takahiro Noi
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Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces [PDF]
, 2013 We consider local "complementary" generalized Morrey spaces M-c({x0})p(.).omega (Omega) in which the p-means of function are controlled over Omega \ B(x(0), r) instead of B(x(0), r), where Omega subset of R-n is a bounded open set, p(x) is a variable ...
Adams +37 more
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Linear methods of approximation in weighted Lebesgue spaces with variable exponent
Hacettepe Journal of Mathematics and Statistics, 2021 Some estimations in below for the deviations conducted by the Zygmund means and by the Abel-Poisson sums in the weighted Lebesgue spaces with variable exponent are obtained. In the classical Lebesgue spaces these estimations were proved by M. F. Timan. The considered weight functions satisfy the well known Muckenhout condition.
Ahmet TESTİCİ +1 more
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The bounded approximation property of variable Lebesgue spaces and nuclearity [PDF]
, 2018 In this paper we prove the bounded approximation property for variable exponent Lebesgue spaces, study the concept of nuclearity on such spaces and apply it to trace formulae such as the Grothendieck-Lidskii formula.
Delgado, Julio, Ruzhansky, Michael
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Approximation by Zygmund means in variable exponent Lebesque spaces [PDF]
Mathematica Moravica, 2019 In the present work we investigate the approximation of the functions by the Zygmund means in variable exponent Lebesgue spaces. Here the estimate which is obtained depends on sequence of the best approximation in Lebesgue spaces with variable exponent ...
Jafarov Sadulla Z.
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Cauchy problem for hyperbolic equations of third order with variable exponent of nonlinearity
Karpatsʹkì Matematičnì Publìkacìï, 2020 We investigate weak solutions of the Cauchy problem for the third order hyperbolic equations with variable exponent of the nonlinearity. The problem is considered in some classes of functions namely in Lebesgue spaces with variable exponents.
O.M. Buhrii +3 more
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International Journal of Differential Equations, 2023 Nonlinear partial differential equations are considered as an essential tool for describing the behavior of many natural phenomena. The modeling of some phenomena requires to work in Sobolev spaces with constant exponent.
Ibrahime Konaté, Arouna Ouédraogo
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