Results 21 to 30 of about 47,715 (209)

Boundedness of several operators on weighted Herz spaces

Journal of Function Spaces and Applications, 2009
We consider the boundedness of singular integral operators and fractional integral operators on weighted Herz spaces. For this purpose we introduce generalized Herz space. Our results are the best possible.
Yasuo Komori, Katsuo Matsuoka
doaj   +1 more source

The iso-response method [PDF]

, 2012
Throughout the nervous system, neurons integrate high-dimensional input streams and transform them into an output of their own. This integration of incoming signals involves filtering processes and complex non-linear operations.
Gollisch, Tim, Herz, Andreas V. M.
core   +1 more source

Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group

Open Mathematics, 2020
In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.
Ajaib Amna, Hussain Amjad
doaj   +1 more source

Traveling waves of excitation in neural field models [PDF]

, 2002
Field models provide an elegant mathematical framework to analyze large-scale patterns of neural activity. On the microscopic level, these models are usually based on either a firing-rate picture or integrate-and-fire dynamics. This article shows that in
Cremers, Daniel, Herz, Andreas V. M.
core   +1 more source

Boundedness of Commutators of High-Dimensional Hausdorff Operators

Journal of Function Spaces and Applications, 2012
We prove the boundedness of commutators of high-dimensional Hausdorff operators 𝐻Φ,𝑏 on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.
Guilian Gao, Houyu Jia
doaj   +1 more source

The weak Haagerup property II: Examples [PDF]

, 2014
The weak Haagerup property for locally compact groups and the weak Haagerup constant was recently introduced by the second author. The weak Haagerup property is weaker than both weak amenability introduced by Cowling and the first author and the Haagerup
Haagerup, Uffe, Knudby, Søren
core   +1 more source

A Characterization of Multipliers of the Herz Algebra

Axioms, 2023
For the characterization of multipliers of Lp(Rd) or more generally, of Lp(G) for some locally compact Abelian group G, the so-called Figa-Talamanca–Herz algebra Ap(G) plays an important role.
Hans G. Feichtinger
doaj   +1 more source

Morrey Meets Herz with Variable Exponent and Applications to Commutators of Homogeneous Fractional Integrals with Rough Kernels

Journal of Function Spaces, 2017
We define the new central Morrey space with variable exponent and investigate its relation to the Morrey-Herz spaces with variable exponent. As applications, we obtain the boundedness of the homogeneous fractional integral operator TΩ,σ and its ...
Hongbin Wang, Jiajia Wang, Zunwei Fu
doaj   +1 more source

Oscillatory singular integrals on Hardy spaces associated with Herz spaces [PDF]

Proceedings of the American Mathematical Society, 1995
In this paper, it is proved that the oscillatory singular integral operators of nonconvolution type are bounded from Hardy spaces associated with Herz spaces to Herz spaces.
Lu, Shanzhen, Yang, Dachun
openaire   +2 more sources

A note on the boundedness of Hardy operators in grand Herz spaces with variable exponent

AIMS Mathematics, 2023
The fractional Hardy-type operators of variable order is shown to be bounded from the grand Herz spaces $ {\dot{K} ^{a(\cdot), u), \theta}_{ p(\cdot)}(\mathbb{R}^n)} $ with variable exponent into the weighted space $ {\dot{K} ^{a(\cdot), u), \theta}_ ...
Samia Bashir, Babar Sultan, Amjad Hussain, Aziz Khan, Thabet Abdeljawad   +4 more
doaj   +1 more source