Results 1 to 10 of about 4,196 (115)

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.
Cruz-Uribe, David, Fiorenza, Alberto, Guzman, Oscar   +2 more
exaly   +5 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

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

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

Atomic Decompositions and John-Nirenberg Theorem of Grand Martingale Hardy Spaces with Variable Exponents

Journal of Function Spaces, 2022
Let θ≥0 and p· be a variable exponent, and we introduce a new class of function spaces Lp·,θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ=0 and grand Lebesgue spaces with p·≡p and θ=1.
Libo Li, Zhiwei Hao
doaj   +1 more source

Boundedness of Riesz Potential Operator on Grand Herz-Morrey Spaces

Axioms, 2022
In this paper, we introduce grand Herz–Morrey spaces with variable exponent and prove the boundedness of Riesz potential operators in these spaces.
Babar Sultan, Fatima Azmi, Mehvish Sultan, Mazhar Mehmood, Nabil Mlaiki   +4 more
doaj   +1 more source

Boundedness of Multilinear Calderón-Zygmund Operators on Grand Variable Herz Spaces

Journal of Function Spaces, 2022
In this paper, we prove the boundedness of multilinear Calderón-Zygmund operators on product of grand variable Herz spaces. These results generalize the boundedness of multilinear Calderón-Zygmund operators on product of variable exponent Lebesgue spaces
Hammad Nafis, Humberto Rafeiro, Muhammad Asad Zaighum   +2 more
doaj   +1 more source

Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces [PDF]

, 2010
In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS).
Ostrovsky, E., Sirota, L.
core   +3 more sources

Molecular Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications

Mathematics, 2021
Let p→∈(0,∞)n be an exponent vector and A be a general expansive matrix on Rn. Let HAp→(Rn) be the anisotropic mixed-norm Hardy spaces associated with A defined via the non-tangential grand maximal function.
Jun Liu, Long Huang, Chenlong Yue
doaj   +1 more source

On small Lebesgue spaces

Journal of Function Spaces and Applications, 2005
We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss ...
Claudia Capone, Alberto Fiorenza
doaj   +1 more source