supported by NNSF-China Grant(No.11471176);NSF of Shandong Province China(No.ZR2020MA004).
In this paper,using the atomic decomposition of the Herz-Morrey-Hardy spaces with variable exponent,the wavelet characterization by means of a local version of the discrete tent spaces with variable exponent is establ...
A significant number of studies have been carried out on the generalized Lebesgue spaces L^p(x), Sobolev spaces W^1,p(x) and Herz spaces. In this paper, we demonstrated a characterization of boundedness of the fractio...
partially supported by the NSF of China (Grants No.11361020);the Natural Science Foundation of Hainan Province (No.20151011)
In this paper,the authors introduce certain Herz type Hardy spaces with variable exponents and establish the characterizations of these spaces in terms of atomic and molecular decompositions. Using these decomposition...
Supported by the Natural Science Foundation of Xuzhou Normal University (09XLB02)
In this paper, the authors study the boundedness of the operator μ^bΩ, the commutator generated by a function b ∈Lipβ (R^n) (0 〈β 〈 1) and the Marcinkiewicz integral μΩ on weighted Herz-type Hardy spaces.
Supported by the NSF of China (10371087);NSF of Anhui Province (07021019);Education Committee ofAnhui Province (KJ2007A009;Kj2008B244);the Grant for Younth of Anhui Normal University (2009xqn58)
In this paper, we study the boundedness of higher order commutators of gen- eralized fractional integral operators on weighted Lp spaces and Herz-type Hardy spaces.
Supported by the the National Natural Science Foundation of China (10571014); the Doctoral Programme Foundation of Institution of Higher Education of China (20040027001).
In this paper, the authors study the boundedness of a class of multi-sublinear operators on the product of Morrey, Herz-Morrey and generalized Morrey spaces, respectively. As their special cases, the corresponding res...
In this paper, we discuss the boundedness of Marcinkiewicz integral μΩ with homogeneous kernel on the weighted Herz-type Hardy spaces, and prove that μΩ is bounded from HKq^a、P(ω1;ω2) into Kq^a、p (ω1; ω2).
Supported by National Science Foundation of China, No. 10261007.
In this paper, the authors establish some characterizations of Herz-type Hardy spaces HKq^α,P(G) and HKq^α,P(G), where 1 〈 q 〈 ∞, Q(1 - 1/q) ≤ α 〈 ∞, 0 〈 p 〈 ∞ and G denotes a gfaded homogeneous Lie ...
Supported Partially by NSF of China (10371087) Education Committee of Anhui Province (2003kj034zd).
Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-t...
Supported by the National 973 Project and the SEDF of China.
In this paper, the author establishes the boundedness of multilinear operators on weighted Herz spaces and Herz-type Hardy spaces. The author also obtains their weak estimates on endpoints. As a special case, the conc...