Results 141 to 150 of about 82,240 (178)
Some of the next articles are maybe not open access.
Variable Exponent Lebesgue Spaces
2011In this chapter we define Lebesgue spaces with variable exponents, \(L^{p(.)}\). They differ from classical \(L^p\) spaces in that the exponent p is not constant but a function from Ω to \([1,\infty]\). The spaces \(L^{p(.)}\) fit into the framework of Musielak–Orlicz spaces and are therefore also semimodular spaces.
Lars Diening +3 more
openaire +1 more source
Endomorphisms of a Lebesgue space III
Israel Journal of Mathematics, 1975A new invariant is introduced for regular isomorphisms, which are isomorphisms by codes that anticipate a finite amount of the future. With the help of this invariant it is shown that the Bernoulli automorphism (p, q) is not regularly isomorphic to the Markov automorphism (
openaire +2 more sources
Lebesgue’s Space-Filling Curve
1994In a paper on infinite linear point manifolds written in 1883, in which Cantor searched for a characterization of the continuum, he offers in the appendix the set of all points that can be represented by $$frac{{2{t_1}}}{3} + \frac{{2{t_2}}}{{{3^2}}} + \frac{{2{t_3}}}{{{3^3}}} + \frac{{2{t_4}}}{{{3^4}}} + ...,$$ where t j = 0 or 1, as an example
openaire +1 more source
LEBESGUE COVERING LEMMA ON NONMETRIC SPACES
International Journal of Mathematics, 2013In this paper the Lebesgue covering lemma is extended from the setting of metric spaces to the setting of admissible spaces. An admissible space is a topological space endowed with an admissible family of open coverings, and need not be metric. The paper contains applications to uniform continuity and dimension theory.
openaire +2 more sources
Lebesgue Spaces and Isomorphisms
2016Let us study the spaces on which the measure-preserving dynamical systems are defined. We will say that two probability spaces are isomorphic if, after having dismissed a negligible set of points in both spaces, we can find a measure-preserving measurable bijection whose inverse is also measurable.
openaire +1 more source