Results 31 to 40 of about 4,926,903 (245)
Characterization of generalized Orlicz spaces [PDF]
Communications in Contemporary Mathematics, 2018 The norm in classical Sobolev spaces can be expressed as a difference quotient. This expression can be used to generalize the space to the fractional smoothness case. Because the difference quotient is based on shifting the function, it cannot be used in generalized Orlicz spaces. In its place, we introduce a smoothed difference quotient and show that
Peter Hästö +3 more
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Volterra-type operators from F(p,q,s) space to Bloch-Orlicz and Zygmund-Orlicz spaces
Filomat, 2020 In this paper, we discussed the equivalent conditions for the boundedness and compactness of several Volterra-type operators acting from general F(p,q,s) space to Bloch-Orlicz and Zygmund-Orlicz spaces.
Yu-Xia Liang +2 more
semanticscholar +1 more source
Convergence in Orlicz spaces by means of the multivariate max-product neural network operators of the Kantorovich type and applications [PDF]
Neural computing & applications (Print), 2018 In this paper, convergence results in a multivariate setting have been proved for a family of neural network operators of the max-product type. In particular, the coefficients expressed by Kantorovich type means allow to treat the theory in the general ...
D. Costarelli, A. R. Sambucini, G. Vinti
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On the lack of compactness in the 2D critical Sobolev embedding [PDF]
, 2010 This paper is devoted to the description of the lack of compactness of $H^1_{rad}(\R^2)$ in the Orlicz space. Our result is expressed in terms of the concentration-type examples derived by P. -L. Lions.
Bahouri, Hajer +2 more
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Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm
Journal of Function Spaces, 2020 Some basic properties in Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are studied in this paper. We give some relationships between the modulus and the Mazur-Orlicz F-norm.
Xinran Bai, Yunan Cui, Joanna Kończak
semanticscholar +1 more source
Multipliers on noncommutative Orlicz spaces [PDF]
Quaestiones Mathematicae, 2014 14 ...
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Approximation Results in Orlicz Spaces for Sequences of Kantorovich Max-Product Neural Network Operators [PDF]
Results in Mathematics, 2018 In this paper we study the theory of the so-called Kantorovich max-product neural network operators in the setting of Orlicz spaces Lφ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
D. Costarelli, A. R. Sambucini
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The Hausdorff–Young inequality for Orlicz spaces on compact hypergroups
, 2020 We prove the classical Hausdor -Young inequality for the Lebesgue spaces on a compact hypergroup using interpolation of sublinear operators. We use this result to prove the Hausdor -Young inequality for Orlicz spaces on a compact hypergroup.
Vishvesh Kumar, R. Sarma
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Manuscripta Mathematica, 1981 In this paper, we investigate the prediction (or best approximation) operator from a uniformly convex real Orlicz space to a subset of σ-lattice measurable functions. In particular, a counterexample to the monotoncity property, which holds in Lp spaces, is given. Also, a sufficient condition for monotonicity to hold is given. Finally, nested σ-lattices,
Darst, R.B., Legg, D.A., Townsend, D.W.
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Maps on noncommutative Orlicz spaces [PDF]
Illinois Journal of Mathematics, 2011 24 pages.
Labuschagne, Louis E. +1 more
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