Results 11 to 20 of about 16,817 (201)

Some results concerning localization property of generalized Herz, Herz-type Besov spaces and Herz-type Triebel-Lizorkin spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, based on generalized Herz-type function spaces $\dot{K}_{q}^{p}(\theta)$ were introduced by Y. Komori and K. Matsuoka in 2009, we define Herz-type Besov spaces $\dot{K}_{q}^{p}B_{\beta }^{s}(\theta)$ and Herz-type Triebel-Lizorkin spaces $\
A. Djeriou, R. Heraiz
doaj   +3 more sources

Herz-Type Hardy Spaces Associated with Operators [PDF]

open access: yesJournal of Function Spaces, 2018
Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
doaj   +3 more sources

Approximation properties on Herz spaces

open access: yesRevista Integración, 2018
En este artículo consideramos los espacios de Herz Kαp,q , los cuales son una generalización natural de los  espacios de Lebesgue Lp . Demostramos algunas propiedades de aproximación tales como densidad del espacio C∞ c (R n), continuidad de la ...
Jhean E. Pérez-López
doaj   +3 more sources

Weighted Herz Spaces and Regularity Results [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
Summary: It is proved that, for the nondivergence form elliptic equations \(\sum^n_{i, j=1} a_{ij} u_{x_i x_j} = f\), if \(f\) belongs to the weighted Herz spaces \(K^q_p(\varphi, w)\), then \(u_{x_i x_j} \in K^q_p(\varphi, w)\), where \(u\) is the \(W^{2,p}\)-solution of the equations.
Yuxing Guo, Yinsheng Jiang
openaire   +3 more sources

Average Operators on Rectangular Herz Spaces [PDF]

open access: yesTatra Mountains Mathematical Publications, 2016
Abstract We introduce a family of Herz type spaces considering rectangles instead of balls and we study continuity properties of some average operators acting on them.
Espinoza-Villalva, Carolina   +1 more
openaire   +3 more sources

Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent

open access: yesAIMS Mathematics, 2023
In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.
Babar Sultan   +5 more
doaj   +1 more source

Boundedness of Hardy operators on grand variable weighted Herz spaces

open access: yesAIMS Mathematics, 2023
In this paper, we will introduce the idea of grand variable weighted Herz spaces $ {{\dot{K} ^{\alpha(\cdot), \epsilon), \theta}_{ q(\cdot)}(\tau)}} $ in which $ \alpha $ is also a variable.
Babar Sultan   +3 more
doaj   +1 more source

Herz-slice spaces and applications

open access: yes, 2022
Let $α\in\mathbb R^n$, $t\in(0,\infty)$, $p\in(0,\infty]$, $r\in(1,\infty)$ and $q\in[1,\infty]$. We introduce the homogeneous Herz-slice space $(\dot KE_{q,r}^{α,p})_t(\mathbb R^n)$, the non-homogeneous Herz-slice space $(KE_{q,r}^{α,p})_t(\mathbb R^n)$ and show some properties of them.
Lu, Yuan, Zhou, Jiang, Wang, Songbai
openaire   +2 more sources

Boundedness of multilinear Calderón-Zygmund singular operators on weighted Lebesgue spaces and Morrey-Herz spaces with variable exponents

open access: yesAIMS Mathematics, 2021
In this paper, we introduce weighted Morrey-Herz spaces $ M\dot K^{\alpha, \lambda}_{q, p(\cdot)}(w~^{p(\cdot)}) $ with variable exponent $ p(\cdot) $. Then we prove the boundedness of multilinear Calderón-Zygmund singular operators on weighted Lebesgue ...
Yueping Zhu, Yan Tang, Lixin Jiang
doaj   +1 more source

The Wire Is Not the Territory: Understanding Representational Drift in Olfaction With Dynamical Systems Theory

open access: yesTopics in Cognitive Science, EarlyView., 2023
Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich   +1 more
wiley   +1 more source

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