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Lebesgue Integral in the Abstract Space
Japanese journal of mathematics :transactions and abstracts, 1936 openaire +3 more sources
Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]
Probab Theory Relat FieldsDe Vecchi F +3 more
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Journal of Mathematical Analysis and Applications, 2021
Let \(\psi_{\alpha,\beta}\) be a continuous strictly positive function on the interval \((\alpha, \beta)\) with ...
Formica, Maria Rosaria +2 more
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Let \(\psi_{\alpha,\beta}\) be a continuous strictly positive function on the interval \((\alpha, \beta)\) with ...
Formica, Maria Rosaria +2 more
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Weyl quantization of Lebesgue spaces
Mathematische Nachrichten, 2009AbstractWe study boundedness and compactness properties for the Weyl quantization with symbols in Lq (ℝ2d ) acting on Lp (ℝd ). This is shown to be equivalent, in suitable Banach space setting, to that of the Wigner transform. We give a short proof by interpolation of Lieb's sufficient conditions for the boundedness of the Wigner transform, proving ...
BOGGIATTO, Paolo +2 more
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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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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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