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Magnetic fractional order orlicz-sobolev spaces
(Polish Academy of Sciences. Institute of Mathematics, 2021-01)
We define the notion of nonlocal magnetic Sobolev spaces with nonstandard growth for Lipschitz magnetic fields. In this context we prove a Bourgain-Brezis- Mironescu type formula for functions in this space as well as for ...
Some existence results on periodic solutions of Euler–Lagrange equations in an Orlicz–Sobolev space setting
(Pergamon-Elsevier Science Ltd, 2015-09)
In this paper we consider the problem of finding periodic solutions of certain Euler-Lagrange equations. We employ the direct method of the calculus of variations, i.e. we obtain solutions minimizing certain functional I. ...
Best Simultaneous Monotone Approximants in Orlicz Spaces
(Taylor & Francis, 2013-01)
Let f = (f1, , fm ), where fj belongs to the Orlicz space [0, 1], and let w = (w1, , wm ) be an m-tuple of m positive weights. If ⊂ [0, 1] is the class of nondecreasing functions, we denote by ,w(f, ) the set of best ...
Extended best polynomial approximation operator in Orlicz Spaces
(Taylor & Francis, 2015-04)
In this article we consider the best polynomial approximation operator, defined in an Orlicz space L Φ(B), and its extension to L ϕ(B) where ϕ is the derivative function of Φ. A characterization of these operators and ...
Composition of fractional Orlicz maximal operators and A1-weights on spaces of homogeneous type
(Springer Heidelberg, 2010-08)
For a Young function Θ with 0 ≤ α < 1, let Mα,Θ be the fractional Orlicz maximal operator defined in the context of the spaces of homogeneous type (X, d, μ) by Mα,Θf(x) = supx∈Bμ(B)α{double pipe}f{double pipe}Θ,B, where ...
A constrained shape optimization problem in Orlicz-Sobolev spaces
(Academic Press Inc Elsevier Science, 2019-06)
In this manuscript we study the following optimization problem: given a bounded and regular domain Ω⊂RN we look for an optimal shape for the “W−vanishing window” on the boundary with prescribed measure over all admissible ...
Periodic solutions of Euler-Lagrange equations with sublinear potentials in an Orlicz-Sobolev space setting
(Instytut Matematyki UMCS, 2017-12)
In this paper, we obtain existence results of periodic solutions of hamiltoniansystems in the Orlicz-Sobolev space W^1 LPsi([0; T]). We employ the directmethod of calculus of variations and we consider a potential function ...
A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians
(Springer, 2022-05)
This paper concerns the study of the asymptotic behavior of the solutions to a family of fractional type problems on a bounded domain, satisfying homogeneous Dirichlet boundary conditions. The family of differential operators ...
A Note on Padé Approximants Pairs as Limits of Algebraic Polynomials Pairs of Weighted Best Approximation in Orlicz Spaces
(Global Science Press, 2015-10)
In this short note, we show the behavior in Orlicz spaces of best approximations by algebraic polynomials pairs on union of neighborhoods, when the measure of them tends to zero.
Weak inequalities for maximal functions in Orlicz–Lorentz spaces and applications
(Academic Press Inc Elsevier Science, 2010-02)
Let 00, denote a net of intervals of the form (x-epsilon,x+epsilon) subset [0,alpha). Let f^{epsilon}(x) be any best constant approximation of f in Lambda_{w,phi´} on B(x,epsilon). Weak inequalities for maximal functions ...