Results 191 to 200 of about 1,114,131 (237)

Variable Lebesgue Spaces

, 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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Grand quasi Lebesgue spaces

Journal of Mathematical Analysis and Applications, 2021
We introduce a new class of quasi-Banach spaces as an extension of the classical Grand Lebesgue Spaces for “small” values of the parameter, and we investigate some its properties, in particular, completeness, fundamental function, operators estimates ...
Maria Rosaria Formica, Leonid Sirota, Eugeny Ostrovsky   +2 more
exaly   +2 more sources

Fully measurable grand Lebesgue spaces

Journal of Mathematical Analysis and Applications, 2015
Using variable exponents, we build a new class of rearrangement-invariant Banach function spaces, independent of the variable Lebesgue spaces, whose function norm is ρ(f ) = ess sup_{x∈(0,1)} ρ_{p(x)} (δ(x)f (·)), where ρ_{p(x)} denotes the norm of the ...
A Fiorenza
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Lebesgue Spaces

2008
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Fully measurable small Lebesgue spaces

Journal of Mathematical Analysis and Applications, 2017
We build a new class of Banach function spaces. Such class contains some known Banach spaces of functions, among which are the classical and the small Lebesgue spaces, and the Orlicz space L(logL)α, α >0. we prove a Hölder-type inequality. Fo r suitable
Raffaella Giova, Giuseppina Anatriello, Maria Rosaria Formica   +2 more
exaly   +2 more sources

Banach Spaces with the Riemann–Lebesgue or the Analytic Riemann–Lebesgue Property

Bulletin of the London Mathematical Society, 2002
In 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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Bessel-Riesz Operators on Lebesgue Spaces with Lebesgue Measures

Malaysian Journal of Mathematical Sciences
This 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, null Eridani, null Fatmawati, W. Raza   +3 more
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Bernoulli Maps of a Lebesgue Space

Canadian Mathematical Bulletin, 1988
AbstractA collection of measure preserving mappings having Bernoulli generators is considered. Only three conditions are required to be satisfied, and they are quite easy to check.
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