Results 21 to 30 of about 2,678,871 (99)
A criterion of weak compactness for operators on subspaces of Orlicz spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 277-292, 2008., 2008 We give a criterion of weak compactness for the operators on the Morse‐Transue space MΨ, the subspace of the Orlicz space LΨ generated by L∞.
Pascal Lefèvre +4 more
wiley +1 more source
On the trace space of a Sobolev space with a radial weight
Journal of Function Spaces, Volume 6, Issue 3, Page 259-276, 2008., 2008 Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels +3 more
wiley +1 more source
New classes of rearrangement‐invariant spaces appearing in extreme cases of weak interpolation
Journal of Function Spaces, Volume 4, Issue 3, Page 275-304, 2006., 2006 We study weak type interpolation for ultrasymmetric spaces L?,E i.e., having the norm ??(t)f*(t)?E˜, where ?(t) is any quasiconcave function and E˜ is arbitrary rearrangement‐invariant space with respect to the measure d t /t. When spaces L?,E are not “too close” to the endpoint spaces of interpolation (in the sense of Boyd), the optimal interpolation ...
Evgeniy Pustylnik +2 more
wiley +1 more source
Non‐equivalent greedy and almost greedy bases in lp
Journal of Function Spaces, Volume 4, Issue 1, Page 25-42, 2006., 2006 For 1 < p < 8 and p ? 2 we construct a family of mutually non‐equivalent greedy bases in lp having the cardinality of the continuum. In fact, no basis from this family is equivalent to a rearranged subsequence of any other basis thereof. We are able to extend this statement to the spaces Lp and H1.
Stephen J. Dilworth +3 more
wiley +1 more source
Norm attaining bilinear forms on L1(μ)
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 833-837, 2000., 2000 Given a finite measure μ, we show that the set of norm attaining bilinear forms is dense in the space of all continuous bilinear forms on L1(μ) if and only if μ is purely atomic.
Yousef Saleh
wiley +1 more source
Measurable multifunctions and their applications to convex integral functionals
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 1, Page 175-191, 1989., 1988 The purpose of this paper is to establish some new properties of set valued measurable functions and of their sets of Integrable selectors and to use them to study convex integral functionals defined on Lebesgue‐Bochner spaces. In this process we also obtain a characterization of separable dual Banach spaces using multifunctions and we present some ...
Nikolaos S. Papageorgiou
wiley +1 more source
On the lattice theory of function semi‐norms
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 431-447, 1983., 1983 We consider the lattice of function semi‐norms over a measure space, as well as certain distinguished subsets. We determine which subsets are sublattices and, in turn, which of these are Dedekind complete. We also investigate the extent to which the distributive and DeMorgan Laws are valid in this setting.
I. E. Schochetman, S. K. Tsui
wiley +1 more source
Sobolev-type spaces from generalized Poincaré inequalities
, 2007 We de ne a Sobolev space by means of a generalized Poincare inequality and relate it to a corresponding space based on upper gradients.
Toni Heikkinen +2 more
semanticscholar +1 more source
Agronomy, 2021 Plant secondary metabolites (SMs) play important roles in plant survival and in creating ecological connections between other species. In addition to providing a variety of valuable natural products, secondary metabolites help protect plants against ...
R. Jan +4 more
semanticscholar +1 more source
Homoclinics for singular strong force Lagrangian systems
Advances in Nonlinear Analysis, 2019 We study the existence of homoclinic solutions for a class of Lagrangian systems ddt$\begin{array}{} \frac{d}{dt} \end{array} $(∇Φ(u̇(t))) + ∇uV(t, u(t)) = 0, where t ∈ ℝ, Φ : ℝ2 → [0, ∞) is a G-function in the sense of Trudinger, V : ℝ × (ℝ2 ∖ {ξ}) → ℝ ...
Izydorek Marek +2 more
doaj +1 more source