Results 11 to 20 of about 16,817 (201)
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
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Herz-Type Hardy Spaces Associated with Operators [PDF]
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
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Approximation properties on Herz spaces
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
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Weighted Herz Spaces and Regularity Results [PDF]
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
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Average Operators on Rectangular Herz Spaces [PDF]
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
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Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent
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
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Boundedness of Hardy operators on grand variable weighted Herz spaces
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
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Herz-slice spaces and applications
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
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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
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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
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