Results 21 to 30 of about 82,244 (222)

Pointwise Multipliers on Weak Morrey Spaces

Analysis and Geometry in Metric Spaces, 2020
We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Kawasumi Ryota, Nakai Eiichi
doaj   +1 more source

Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative

Journal of Function Spaces, 2021
In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces.
Leonardo Fabio Chacón-Cortés, Humberto Rafeiro   +1 more
doaj   +1 more source

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   +1 more source

DISCRETE AHLFORS–BEURLING TRANSFORM AND ITS PROPERTIES

Проблемы анализа, 2020
The Ahlfors–Beurling transform has been well studied on classical Lebesgue, Morrey, Sobolev, Besov, Campanato, etc. spaces. However, its discrete version is still not studied well.
Rashid A. Aliev, Aynur N. Ahmadova
doaj   +1 more source

Lipschitz Spaces and Mixed Lebesgue Spaces [PDF]

Proceedings of the American Mathematical Society, 1982
It is shown that translation invariant linear operators which improve Lipschitz classes behave almost as well as the corresponding fractional Riesz transforms when applied to the mixed Lebesgue spaces. These results partially generalize some of the theorems concerning Riesz transforms and mixed Lebesgue classes due to Adams and Bagby, Lizorkin, and ...
openaire   +2 more sources

Generalized Almost Periodicity in Lebesgue Spaces with Variable Exponents

Mathematics, 2020
In this paper, we introduce and analyze Stepanov uniformly recurrent functions, Doss uniformly recurrent functions and Doss almost-periodic functions in Lebesgue spaces with variable exponents.
Marko Kostić, Wei-Shih Du
doaj   +1 more source

Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces

Abstract and Applied Analysis, 2013
We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.
Hui-Ling Wu, Jia-Cheng Lan
doaj   +1 more source

Endpoint estimates for multilinear fractional singular integral operators on Herz and Herz type Hardy spaces

AIMS Mathematics, 2021
The boundedness of singular and fractional integral operator on Lebesgue and Hardy spaces have been well studied. The theory of Herz space and Herz type Hardy space, as a local version of Lebesgue and Hardy space, have been developed. The main purpose of
Dazhao Chen
doaj   +1 more source

Decompositions of Nakano norms by ODE techniques

, 2018
We study decompositions of Nakano type varying exponent Lebesgue norms and spaces. These function spaces are represented here in a natural way as tractable varying $\ell^p$ sums of projection bands. The main results involve embedding the varying Lebesgue
Talponen, Jarno
core   +1 more source

Characterization of interpolation between Grand, small or classical Lebesgue spaces

, 2017
In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally $G\Gamma$-spaces. As a direct consequence of our results any Lorentz-Zygmund space $L^{a,r}({\rm Log}\,
Fiorenza, Aberto, Formica, Maria Rosaria, Gogatishvili, Amiran, Kopaliani, Tengiz, Rakotoson, Jean Michel   +4 more
core   +1 more source