Results 1 to 10 of about 126 (109)

Identification of Fully Measurable Grand Lebesgue Spaces [PDF]

Journal of Function Spaces, 2017
We consider the Banach function spaces, called fully measurable grand Lebesgue spaces, associated with the function norm ρ(f)=ess supx∈X⁡δ(x)ρp(x)(f), where ρp(x) denotes the norm of the Lebesgue space of exponent p(x), and p(·) and δ(·) are measurable ...
Giuseppina Anatriello, Ralph Chill, Alberto Fiorenza   +2 more
doaj   +4 more sources

On the Factor Opposing the Lebesgue Norm in Generalized Grand Lebesgue Spaces [PDF]

Results in Mathematics, 2021
AbstractWe prove that if $$1<p<\infty $$ 1 < p < ∞ and $$\delta :]0,p-1]\rightarrow ]0,\infty [$$ δ : ]
Alberto Fiorenza, Maria Rosaria Formica, Formica Maria Rosaria   +2 more
exaly   +4 more sources

Generalized Grand Lebesgue Spaces Associated to Banach Function spaces [PDF]

Sahand Communications in Mathematical Analysis
In this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces.
Alireza Bagheri Salec, Seyyed Mohammad Tabatabaie, Alaa Mahdi Talib Albeka   +2 more
doaj   +3 more sources

Embeddings between grand, small, and variable Lebesgue spaces [PDF]

Mathematical Notes, 2017
We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal. Our work extends recent results by the second author, Rakotoson and Sbordone.
A Fiorenza
exaly   +4 more sources

Grand Bochner–Lebesgue space and its associate space

Journal of Functional Analysis, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro   +2 more
exaly   +2 more sources

Fully measurable grand Lebesgue spaces

Journal of Mathematical Analysis and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ANATRIELLO, GIUSEPPINA, FIORENZA, ALBERTO   +1 more
exaly   +5 more sources

On grand Lebesgue spaces on sets of infinite measure

Mathematische Nachrichten, 2017
Summary: We consider grand Lebesgue spaces on sets of infinite measure and study the dependence of these spaces on the choice of the so-called grandizer. We also consider Mikhlin and Marcinkiewicz theorems on Fourier multipliers in the setting of grand spaces.
Stefan Samko, Salaudin Umarkhadzhiev
exaly   +3 more sources

Interior Schauder-Type Estimates for Higher-Order Elliptic Operators in Grand-Sobolev Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2021
In this paper  an elliptic operator of the $m$-th order  $L$ with continuous coefficients in the $n$-dimensional domain $\Omega \subset R^{n} $ in the non-standard Grand-Sobolev space $W_{q)}^{m} \left(\Omega \right)\, $ generated by the norm $\left\| \,
Bilal Bilalov, Sabina Sadigova
doaj   +1 more source

Bochner–Riesz operators in grand lebesgue spaces [PDF]

Journal of Pseudo-Differential Operators and Applications, 2021
AbstractWe provide the conditions for the boundedness of the Bochner–Riesz operator acting between two different Grand Lebesgue Spaces. Moreover we obtain a lower estimate for the constant appearing in the Lebesgue–Riesz norm estimation of the Bochner–Riesz operator and we investigate the convergence of the Bochner–Riesz approximation in Lebesgue–Riesz
Formica, Maria Rosaria, Ostrovsky, Eugeny, Sirota, Leonid   +2 more
openaire   +3 more sources

Approximation by matrix transform in generalized grand Lebesgue spaces with variable exponent

Journal of Numerical Analysis and Approximation Theory, 2021
In this work the Lipschitz subclass of the generalized grand Lebesgue space with variable exponent is defined and the error of approximation by matrix transforms in this subclass is estimated.
Ahmet Testici, Daniyal Israfilov
doaj   +7 more sources