Results 11 to 20 of about 14,631 (194)

Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces [PDF]

Journal of Inequalities and Applications, 2013
The authors consider bilinear multipliers of the form \[ (f,g) \mapsto \int \limits _{\mathbb{R}^{n}} \int \limits _{\mathbb{R}^{n}} \widehat{f}(\xi)\widehat{g}(\eta)m(\xi,\eta)\exp(2i\pi \langle \cdot, \xi+\eta \rangle)d\xi d\eta, \] acting on weighted or variable exponent \(L^p\) spaces (here \(m\in L^{\infty}(\mathbb{R}^{2n};\mathbb{C})\)).
Kulak, Oznur, Gurkanli, A. Turan
openaire   +3 more sources

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

Modular Geometric Properties in Variable Exponent Spaces

Mathematics, 2022
Much has been written on variable exponent spaces in recent years. Most of the literature deals with the normed space structure of such spaces. However, because of the variability of the exponent, the underlying modular structure of these spaces is ...
Mohamed A. Khamsi, Osvaldo D. Méndez, Simeon Reich   +2 more
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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

THE RIESZ CAPACITY IN VARIABLE EXPONENT LEBESGUE SPACES [PDF]

International Journal of Apllied Mathematics, 2017
In this paper, we study a capacity theory based on a definition of a Riesz potential in the Euclidean space. Also, we define the Riesz (α, p(.))- capacity and discuss the properties of the capacity in the variable exponent Lebesgue space Lp(.)(ℝn). © 2017 Academic Publications.
Ünal, Cihan, Aydin, Ismail
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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

Modular-Proximal Gradient Algorithms in Variable Exponent Lebesgue Spaces

SIAM Journal on Scientific Computing, 2022
We consider structured optimisation problems defined in terms of the sum of a smooth and convex function, and a proper, l.s.c., convex (typically non-smooth) one in reflexive variable exponent Lebesgue spaces $L_{p(\cdot)}(Ω)$. Due to their intrinsic space-variant properties, such spaces can be naturally used as solution space and combined with space ...
Lazzaretti, Marta, Calatroni, Luca, Estatico, Claudio   +2 more
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Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

Open Mathematics, 2021
If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.
Wang Shengrong, Xu Jingshi
doaj   +1 more source

Multilinear Fourier multipliers on variable Lebesgue spaces [PDF]

, 2014
In this paper, we study properties of the bilinear multiplier space. We give a necessary condition for a continuous integrable function to be a bilinear multiplier on variable exponent Lebesgue spaces. And we prove the localization theorem of multipliers
Ren, Jineng, Sun, Wenchang
core   +3 more sources

On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations

Journal of Inequalities and Applications, 2023
A novel measure of noncompactness is defined in variable exponent Lebesgue spaces L p ( ⋅ ) $L^{p(\cdot )}$ on an unbounded domain R + $\mathbb{R}^{+}$ and its properties are examined.
Mohamed M. A. Metwali
doaj   +1 more source