Results 31 to 40 of about 3,615 (292)
Averaging and orthogonal operators on variable exponent spaces L-p(.) (Omega) [PDF]
, 2014 Corrigendum to “Averaging and orthogonal operators on variable exponent spaces Lp(·) (Ω)” [J. Math. Anal. Appl. 413 (1) (2014)139–153]Given a measurable space (Omega, mu) and a sequence of disjoint measurable subsets A = (A(n))(n), the associated ...
Hernández Rodríguez, Francisco Luis +1 more
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Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
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Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces
Journal of Function Spaces, 2022 In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces
Hammad Nafis +2 more
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Boundedness of fractional integrals on weighted Herz spaces with variable exponent
Journal of Inequalities and Applications, 2016 Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
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Capacitary characterization of variable exponent Sobolev trace spaces
Moroccan Journal of Pure and Applied Analysis, 2022 Let Ω ⊂ ℝn be an open set. We give a new characterization of zero trace functions f∈𝒞(Ω¯)∩W01,p(.)(Ω)f \in \mathcal{C}\left( {\bar \Omega } \right) \cap W_0^{1,p\left( . \right)}\left( \Omega \right).
Berghout Mohamed
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Nonlocal characterizations of variable exponent Sobolev spaces [PDF]
, 2022 We obtain some nonlocal characterizations for a class of variable exponent Sobolev spaces arising in nonlinear elasticity theory and in the theory of electrorheological fluids.
Squassina M.
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Local grand variable exponent Lebesgue spaces
Zeitschrift für Analysis und ihre Anwendungen, 2023 We introduce local grand variable exponent Lebesgue spaces, where the variable exponent Lebesgue space is “aggrandized” only at a given closed set F of measure zero.
Rafeiro, Humberto, Samko, Stefan
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Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces [PDF]
, 2021 We continue the study of the variable exponent Morreyfied Triebel-Lizorkin spaces introduced in a previous paper. Here we give characterizations by means of atoms and molecules.
Kempka, Henning, Caetano, António
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Approximation problems in the Lebesgue spaces with variable exponent
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
İsrafilov, Daniyal M., Testici, Ahmet
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Uniform Convexity in Variable Exponent Sobolev Spaces
Symmetry, 2023 We prove the modular convexity of the mixed norm Lp(ℓ2) on the Sobolev space W1,p(Ω) in a domain Ω⊂Rn under the sole assumption that the exponent p(x) is bounded away from 1, i.e., we include the case supx∈Ωp(x)=∞. In particular, the mixed Sobolev norm is uniformly convex if 1<infx∈Ωp(x)≤supx∈Ωp(x)<∞ and W01,p(Ω) is uniformly convex.
Mostafa Bachar +2 more
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