Results 131 to 140 of about 82,240 (178)
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Grand Lebesgue sequence spaces
Georgian Mathematical Journal, 2018Abstract We introduce grand Lebesgue sequence spaces and study various operators of harmonic analysis in these spaces, e.g., maximal, convolution, Hardy, Hilbert, and fractional operators, among others. Special attention is paid to fractional calculus, including the density of the discrete version of a Lizorkin sequence test space in ...
Rafeiro, Humberto +2 more
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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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2013
This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with ...
CRUZ URIBE D., FIORENZA, ALBERTO
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This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with ...
CRUZ URIBE D., FIORENZA, ALBERTO
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2016
In this chapter we study the so-called weak Lebesgue spaces which are one of the first generalizations of the Lebesgue spaces and a prototype of the so-called Lorentz spaces which will be studied in a subsequent chapter. In the framework of weak Lebesgue spaces we will study, among other topics, embedding results, convergence in measure, interpolation ...
René Erlín Castillo, Humberto Rafeiro
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In this chapter we study the so-called weak Lebesgue spaces which are one of the first generalizations of the Lebesgue spaces and a prototype of the so-called Lorentz spaces which will be studied in a subsequent chapter. In the framework of weak Lebesgue spaces we will study, among other topics, embedding results, convergence in measure, interpolation ...
René Erlín Castillo, Humberto Rafeiro
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Bessel-Riesz Operators on Lebesgue Spaces with Lebesgue Measures
Malaysian Journal of Mathematical SciencesThis study investigates a class of mathematical operators known as the Bessel-Riesz operators, defined in Euclidean space Rn, given by, Tμ,νf(z) =Z Rn Kμ,ν (|z − w|)f(w)dν(w), for z ∈ Rn. (1) Here, Kμ,ν is called the Bessel-Riesz kernel. It can be expressed as a multiple of the Bessel kernel Jν and the Riesz kernel Kμ.
S. Mehmood +3 more
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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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