Results 181 to 190 of about 82,244 (222)
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2000
There are many mathematical problems for which the solution is a function of some kind, and it is often whole real line has the useful property that sums and constant multiples of functions in the set are also in the s both possible and convenient to specify in advance the set of functions within which the solution is to be sought.
M. Carter, B. van Brunt
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There are many mathematical problems for which the solution is a function of some kind, and it is often whole real line has the useful property that sums and constant multiples of functions in the set are also in the s both possible and convenient to specify in advance the set of functions within which the solution is to be sought.
M. Carter, B. van Brunt
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Mixed Norm Inequalities for Lebesgue Spaces
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jain, Pankaj +2 more
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1996
Let M be a measure space and 1 ≤ p ≤ ∞. A real-valued function f on M is said to be pth-power integrable, or belong to L p , if f is measurable, and |f| p is integrable if p < ∞, while if p = ∞, it is required that there exist a null set in M on whose complement f is bounded.
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Let M be a measure space and 1 ≤ p ≤ ∞. A real-valued function f on M is said to be pth-power integrable, or belong to L p , if f is measurable, and |f| p is integrable if p < ∞, while if p = ∞, it is required that there exist a null set in M on whose complement f is bounded.
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Periodica Mathematica Hungarica, 1979
Periodica Mathematica Hungariea Vot 10 (1), (1979), pp. 9--I3 STABILITY OF LEBESGUE SPACES by B. P. DUGGAL (Nairobi) 1. Introduction Let G be a locally compact topological group with left Haar measure m. A Radon measure # on G is a positive measure defined on the Borel subsets of G such that # is locally finite and # is inner regular, i.e., for each ...
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Periodica Mathematica Hungariea Vot 10 (1), (1979), pp. 9--I3 STABILITY OF LEBESGUE SPACES by B. P. DUGGAL (Nairobi) 1. Introduction Let G be a locally compact topological group with left Haar measure m. A Radon measure # on G is a positive measure defined on the Borel subsets of G such that # is locally finite and # is inner regular, i.e., for each ...
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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
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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 (
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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
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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.
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