Let 1<q<∞, 1 - 1/q ?a<∞ ,0<p<∞; and G be a locally compact Vilenkin group. The authors first introduce the general Herz-type Hardy spaces $HK_q^{a,p} (G)$ and $hK_q^{a,p} (G)$ , then present the cent...Let 1<q<∞, 1 - 1/q ?a<∞ ,0<p<∞; and G be a locally compact Vilenkin group. The authors first introduce the general Herz-type Hardy spaces $HK_q^{a,p} (G)$ and $hK_q^{a,p} (G)$ , then present the central atom or the central block and atom decompositions of these spaces. Using this characterization, they discuss some properties of these spaces and investigate the boundedness on the spaces $HK_q^{a,p} (G)$ of the fractional integral operators and the boundedness on the spaces $hK_q^{a,p} (G)$ of the pseudo-differential operators of order zero.展开更多
This paper studies some boundedness results of commutators on a class of new spaces MKp,q^αλ （G） named as homogenous Morrey-Herz spaces over locally compact Vilenkin groups
The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibb...The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibbs-Butzer differential operators.展开更多
Let G be a locally compact Vilenkin gro up . We will establish the boundedness in Morrey spaces L p,λ (G) for a la rge class of sublinear operators and linear commutators.
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...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 Hardy space on G. And an example, the boundedness from the products of Herz space to Herz-type Hardy space is given in the last section.展开更多
A weighted Hpω(G) multiplier theorem on the multiplier operator T associated with a function m∈ L∞ (Γ) is shown and the atomic decomposition of functions fin Hp*(G) is obtained, where G is a Vilenkin group, r its ...A weighted Hpω(G) multiplier theorem on the multiplier operator T associated with a function m∈ L∞ (Γ) is shown and the atomic decomposition of functions fin Hp*(G) is obtained, where G is a Vilenkin group, r its dual, 0 【 p≤1 and ω is a weight on G which is more general than that proposed by C. W. Onneweer et al.展开更多
In this paper the boundedness results for some fractional and singular integral operators on the homogeneous Morrey-Herz spaces over locally compact Vilenkin groups are shown.
文摘Let 1<q<∞, 1 - 1/q ?a<∞ ,0<p<∞; and G be a locally compact Vilenkin group. The authors first introduce the general Herz-type Hardy spaces $HK_q^{a,p} (G)$ and $hK_q^{a,p} (G)$ , then present the central atom or the central block and atom decompositions of these spaces. Using this characterization, they discuss some properties of these spaces and investigate the boundedness on the spaces $HK_q^{a,p} (G)$ of the fractional integral operators and the boundedness on the spaces $hK_q^{a,p} (G)$ of the pseudo-differential operators of order zero.
基金Supported by Mudanjiang Teachers College (KZ2008001)by Scientific Research Fund of Heilongjiang Provincial Education Department(No.11541378)
文摘This paper studies some boundedness results of commutators on a class of new spaces MKp,q^αλ （G） named as homogenous Morrey-Herz spaces over locally compact Vilenkin groups
文摘The concept of para-differential operators over locally compact Vilenkin groups is given and their properties are studied. By means of para-linearization theorem, efforts are made to establish the basic theory of Gibbs-Butzer differential operators.
文摘Let G be a locally compact Vilenkin gro up . We will establish the boundedness in Morrey spaces L p,λ (G) for a la rge class of sublinear operators and linear commutators.
文摘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 Hardy space on G. And an example, the boundedness from the products of Herz space to Herz-type Hardy space is given in the last section.
文摘A weighted Hpω(G) multiplier theorem on the multiplier operator T associated with a function m∈ L∞ (Γ) is shown and the atomic decomposition of functions fin Hp*(G) is obtained, where G is a Vilenkin group, r its dual, 0 【 p≤1 and ω is a weight on G which is more general than that proposed by C. W. Onneweer et al.
基金The NSF(A200913) of Heilongjiang ProvinceScientific Research Fund(11541378) of Heilongjiang Provincial Education DepartmentYoung Academic Backbone Projects(G201001) of Mudanjiang Normal University
文摘In this paper the boundedness results for some fractional and singular integral operators on the homogeneous Morrey-Herz spaces over locally compact Vilenkin groups are shown.
