Results 201 to 210 of about 1,114,131 (237)
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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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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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1978
This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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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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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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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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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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Embedding Derivatives of Hardy Spaces into Lebesgue Spaces
Proceedings of the London Mathematical Society, 1991Suppose ...
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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
openaire +1 more source