Boundedness of Singular Integral Operator in Variable Exponent Lebesgue Spaces
MathematicsThis manuscript establishes the boundedness results for a class of singular integral operators to a more general framework by imposing conditions on the Hardy–Littlewood maximal function. We establish the results where we construct a suitable range space
Muhammad Nasir, Fehaid Salem Alshammari
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Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique. [PDF]
Sensors (Basel), 2022 Schenone V +5 more
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Gagliardo–Nirenberg type inequality for variable exponent Lebesgue spaces
Journal of Mathematical Analysis and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kopaliani, Tengiz, Chelidze, George
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On the dual of variable Lebesgue spaces with unbounded exponent
, 2019 We study the dual space of the variable Lebesgue space $\Lp$ with unbounded exponent function $\pp$ and provide an answer to a question posed in~[fiorenza-cruzuribe2013]. Our approach is to decompose the dual into a topological direct sum of Banach spaces.
Amenta, Alex +3 more
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Solutions of an anisotropic nonlocal problem involving variable exponent
Advances in Nonlinear Analysis, 2013 The present paper deals with an anisotropic Kirchhoff problem under homogeneous Dirichlet boundary conditions, set in a bounded smooth domain of ℝN ().
Avci Mustafa +2 more
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The Variation of Constants Formula in Lebesgue Spaces with Variable Exponents
SymmetryThis study looks closely into the analysis of the variation of constants formula given by Φ(t)=S(t)Φ(0)+∫0tS(t−σ)F(σ,Φ(σ))dσ, for t∈[0,T],T>0, within the context of modular function spaces Lρ. Additionally, this research explores practical applications of the variation of constants formula in variable exponent Lebesgue spaces Lp(·).
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Математичні СтудіїThe paper devoted to investigation strong solutions of the initial-boundary-value problem for some equations of the Kirchhoff type with avariable exponent of nonlinearity.
O. T. Kholyavka +3 more
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Initial-boundary problems for systems of a high order doubly nonlinear parabolic equations with variable exponent of nonlinearity [PDF]
Математичні Студії, 2012 Consider a mixed problem for a class of system of a high order doubly nonlinear parabolic equations with variable exponent of nonlinearity. This problem is considered in generalized Lebesgue-Sobolev spaces.
T. M. Bokalo
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Joint Detection and Communication over Type-Sensitive Networks. [PDF]
Entropy (Basel), 2023 Shaska J, Mitra U.
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A trace inequality for generalized potentials in Lebesgue spaces with variable exponent
Journal of Function Spaces and Applications, 2004 A trace inequality for the generalized Riesz potentials Iα(x) is established in spaces Lp(x) defined on spaces of homogeneous type. The results are new even in the case of Euclidean spaces.
David E. Edmunds +2 more
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