supported by Japan Society for the Promotion of Science(Grant No.23K03156)。
This paper is an offspring of the previous study on Herz spaces.A new characterization of Morrey–Herz spaces is given.As applications,the boundedness of various operators is obtained.For example,higher-order commutat...
supported by the National Natural Science Foundation of China(Grant Nos.11501020,11871087 and 11771423)
This paper is devoted to investigating the existence and uniqueness of mild solution to the 3D incompressible micropolar fluid system in the Fourier–Herz framework. By taking advantage of microlocal analysis and the ...
Supported by the NNSF of China (Grant No.10871024);SEDF of China (Grant No.20040027001)
In this paper, the authors consider the boundedness of generalized higher commutator of Marcinkiewicz integral μΩ^b, multilinear Marcinkiewicz integral μΩ^A and its variation μΩ^A on Herz-type Hardy spaces, here...
NSF of China (Grant Nos.10571014 and 10571015);SRFDP of China (Grant No.20050027025)
In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ n are introduced, and the central atomic and molecular decomposition characterizations of tho...
Research is supported in part by National Science Council in Taipei
In this article, we apply the molecular characterization of the weighted Hardy space developed by the first two authors to show the boundedness of Hormander multiplier on the weighted Herz-type Hardy spaces HK^α,p 2...
Let Baδ^A. be the maxiamal multilinear Bochner-Riesz operators generated by Bochner Riesz operators and D^αA∈ Lipβ(|α|= m), The continuity of the operator on some Hardy and Herz type Hardy is obtained.
Project 10261007 supported by NSFC.;supported by SF of Xinjiang University
Some estimates for the convolution operators with kernels of type (l, r) on Lebesgue spaces with power weights and Herz-type spaces in the setting of homogeneous groups are established.
Let G be a locally compact Vilenkin group. In this paper the authors study the boundedness of bilinear operators B(f, g) given by finite sums of products of Calderdn-Zygmund operators in Herz space and Herz-type Har...
The first author is partially supported by NNSF (No. 60474070) NSF of Hunan, China (01JJY3003);the second (corresponding) author is partially supported by RFDP (No. 20020027004) and NNSF (No. 10271015)of China
Let s ∈R,0〈β≤∞, 0〈 q, p〈 ∞ and-n/q〈α. In this paper the authors introduce the Herz-type Triebel-Lizorkin spaces,Kq^α,pFβ^s(R^n)andKq^α,pFβ^s(R^n)which are the generalizations of the well-known Herz-...
This project is supported by the RFDP(No.20020027004);NNSF(No.10271015)of China
In this paper, two classes of closely related multilinear singular andfractional integrals, which include the commutators as special cases, are studied and theirboundedness on Herz type spaces is discussed. In fact, i...