Results 141 to 150 of about 93,517 (188)

Measures of non–compactness of classical embeddings of Sobolev spaces

Mathematische Nachrichten, 2003
AbstractLet Ω be an open subset of ℝn and let p ∈ [1, n). We prove that the measure of non–compactness of the Sobolev embedding Wk,p0(Ω) → Lp*(Ω) is equal to its norm. This means that the entropy numbers of this embedding are constant and equal to the norm.
S. Hencl
semanticscholar   +4 more sources

Measures of Non-Compactness and Sobolev–Lorentz Spaces

Zeitschrift für Analysis und ihre Anwendungen, 2020
We show that the measure of non-compactness of the limiting embedding of Sobolev–Lorentz spaces is equal to the norm. This is a consequence of our general theorem for arbitrary Banach spaces.
Ondřej Bouchala
semanticscholar   +2 more sources

Measures of Non-compactness

, 2014
The degree of non-compactness of a set is measured by means of functions called measures of non-compactness. In this chapter we study the three main and most frequently used measures of non-compactness (MNCs).
J. Banaś, M. Mursaleen
semanticscholar   +2 more sources

Interpolation theory and measures of non‐compactness

Mathematische Nachrichten, 1981
M. Teixeira, D. Edmunds
semanticscholar   +3 more sources

Real-valued non compactness measures in topological vector spaces and a pplications

Banach Journal of Mathematical Analysis, 2020
N. Machrafi, L. Oubbi
semanticscholar   +3 more sources

Continuity and compactness of the indirect product of two non-additive measures

Fuzzy Sets and Systems, 2009
J. Kawabe
semanticscholar   +3 more sources

Some Properties of the Set and Ball Measures of Non-Compactness and Applications

Journal of the London Mathematical Society, 1986
T. Benavides
semanticscholar   +3 more sources

Invariant measures of fractional stochastic delay reaction–diffusion equations on unbounded domains

Nonlinearity, 2021
In this paper, existence of invariant measure is mainly investigated for a fractional stochastic delay reaction–diffusion equation defined on unbounded domains.
Zhang Chen, Bixiang Wang
semanticscholar   +1 more source

On a measure of non–compactness for maximal operators

Mathematische Nachrichten, 2003
AbstractIt is proved that there is no weight pair (v,w) for which the Hardy–Littlewood maximal operator defined on a domain Ω in Rn is compact from the weighted Lebesgue space Lpw(Ω) to Lpv (Ω). Results of a similar character are also obtained for the fractional maximal operators.
Edmunds, D. E., Meskhi, A.
openaire   +2 more sources

On the range of the subdifferential in non reflexive Banach spaces

Journal of Functional Analysis, 2021
We present the following unbounded version for James's theorem on weak compactness in Banach spaces: let C be a closed, convex but not necessarily bounded subset in the Banach space E, and Λ be a non-void and τ ( E ⁎ , E ) -open subset of E ⁎ ; i.e ...
F. Delbaen, J. Orihuela
semanticscholar   +1 more source