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Banach Spaces with the Riemann–Lebesgue or the Analytic Riemann–Lebesgue Property
Bulletin of the London Mathematical Society, 2002In this note, two geometric properties of Banach spaces are proposed and discussed, related to the validity of the lemma of Riemann–Lebesgue in spaces of weakly integrable functions. The class of Banach spaces with the analytic Riemann–Lebesgue property is shown to be precisely the class of Banach spaces for which a weak form of a theorem of Ingham ...
Bu, Shangquan, Chill, Ralph
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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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A geometrization of Lebesgue’s space-filling curve
The Mathematical Intelligencer, 1993This note is a clear expository paper on space-filling curves (Osgood's curve, Lebesgue's curve, Peano's curve). Relations between different proofs are shown and some figures are provided to make easier the understanding of the limit constructions.
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Embedding Derivatives of Hardy Spaces into Lebesgue Spaces
Proceedings of the London Mathematical Society, 1991Suppose ...
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2016
In this chapter, we will introduce the so-called Lebesgue sequence spaces, in the finite and also in the infinite dimensional case. We study some properties of the spaces, e.g., completeness, separability, duality, and embedding. We also examine the validity of Holder, Minkowski, Hardy, and Hilbert inequality which are related to the aforementioned ...
René Erlín Castillo, Humberto Rafeiro
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In this chapter, we will introduce the so-called Lebesgue sequence spaces, in the finite and also in the infinite dimensional case. We study some properties of the spaces, e.g., completeness, separability, duality, and embedding. We also examine the validity of Holder, Minkowski, Hardy, and Hilbert inequality which are related to the aforementioned ...
René Erlín Castillo, Humberto Rafeiro
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2016
In recent years, it had become apparent that the plethora of existing function spaces were not sufficient to model a wide variety of applications, e.g., in the modeling of electrorheological fluids, thermorheological fluids, in the study of image processing, in differential equations with nonstandard growth, among others.
René Erlín Castillo, Humberto Rafeiro
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In recent years, it had become apparent that the plethora of existing function spaces were not sufficient to model a wide variety of applications, e.g., in the modeling of electrorheological fluids, thermorheological fluids, in the study of image processing, in differential equations with nonstandard growth, among others.
René Erlín Castillo, Humberto Rafeiro
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The Lebesgue and Sobolev Spaces
2014The main focus of chapter 8 is the establishment of basic concepts on Lebesgue and Sobolev spaces. The results developed include the classical Sobolev imbedding and trace theorems for a special class of domains.
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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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