Results 21 to 30 of about 105 (87)
Lipschitz Bounds and Nonuniform Ellipticity
Communications on Pure and Applied Mathematics, Volume 73, Issue 5, Page 944-1034, May 2020., 2020 Abstract We consider nonuniformly elliptic variational problems and give optimal conditions guaranteeing the local Lipschitz regularity of solutions in terms of the regularity of the given data. The analysis catches the main model cases in the literature.
Lisa Beck, Giuseppe Mingione
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Orlicz-Lorentz Spaces and their Composition Operators [PDF]
Proyecciones (Antofagasta)In a self-contained presentation, we discuss the Orlicz-Lorentz space. Also the boundedness of composition operators on Orlicz-Lorentz spaces are characterized in this paper.
Castillo, René Erlin +2 more
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Intrinsic Square Function Characterizations of Variable Hardy–Lorentz Spaces
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to establish the intrinsic square function characterizations in terms of the intrinsic Littlewood–Paley g‐function, the intrinsic Lusin area function, and the intrinsic gλ∗‐function of the variable Hardy–Lorentz space Hp(⋅),q(ℝn), for p(⋅) being a measurable function on ℝn satisfying 0
Khedoudj Saibi, Huy Qui Bui
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Some Properties of Prequasi Normed Generalized de La Vallée Poussin’s Mean Sequence Space
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this article, we study some topological properties of the multiplication operator on generalized de La Vallée Poussin’s mean sequence space equipped with the prequasi norm and the prequasi operator ideal generated by s‐numbers and this sequence space.
Awad A. Bakery +2 more
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Orlicz-Lorentz Spaces and their Multiplication Operators
Hacettepe Journal of Mathematics and Statistics, 2015 Summary: The boundedness, closed range, invertibility, compactness and closedness of multiplication operators on Orlicz-Lorentz spaces are characterized in this paper.
CASTİLLO, René Erlin +2 more
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Orlicz–Lorentz function spaces equipped with the Orlicz norm
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023 AbstractWe investigate Orlicz–Lorentz function spaces equipped with the Orlicz norm generated by any Orlicz function and any non-increasing weight function. As far as we know, this is the first time such a general research is conducted. First we show some basic properties of the Orlicz norm, including its equality to the Amemiya norm, the problem of ...
Paweł Foralewski, Joanna Kończak
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Comparison of Orlicz-Lorentz spaces [PDF]
Studia Mathematica, 1992 Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastyło, Maligranda, and Kamińska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent. As a corollary, we give
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On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 In this article, we establish an important property about the growth of sequences in the dual space of Cesàro sequence spaces. As a consequence of this fact, we calculate the measure of noncompactness or the essential norm of the multiplication operator Mu acting on Cesàro sequence spaces cesp.
Julio C. Ramos-Fernández +3 more
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Bilinear Multipliers on Banach Function Spaces
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 Let X1, X2, X3 be Banach spaces of measurable functions in L0(R) and let m(ξ, η) be a locally integrable function in R2. We say that m∈BM(X1,X2,X3)(R) if Bm(f,g)(x)=∫R∫Rf∧(ξ)g∧(η)m(ξ,η)e2πi<ξ+η,x>dξdη, defined for f and g with compactly supported Fourier transform, extends to a bounded bilinear operator from X1 × X2 to X3.
Oscar Blasco, Rodolfo H. Torres
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Open MathematicsWe define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
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