已为您找到该学者20条结果 成果回收站
杨大春, DONGGAO DENG, YONGSHENG HAN, DACHUN YANG
Communications in Contemporary Mathematics Vol. 6, No. 2(2004)221-243,-0001,():
-1年11月30日
In this paper, the authors establish the inhomogeneous Plancherel-Polya inequalities on spaces of homogeneous type by use of the inhomogeneous discrete Calderon reproducing formulas. As an application, the authors prove that the Lebesgue norms of the inhomogeneous Littlewood-Paley g-function and S-function on spaces of homogeneous type are equivalent. All results are new even for Rn.
Space of homogeneous type, inhomogeneous Plancherel-Polya inequality, discrete Calderon reproducing formula, Littlewood-Paley g-function, Littlewood-Paley Sfunction, unit, molecule
-
106浏览
-
0点赞
-
0收藏
-
0分享
-
37下载
-
0
-
引用
【期刊论文】A DIFFERENCE CHARACTERIZATION OF BESOV AND TRIEBEL-LIZORKIN SPACES ON RD-SPACES DETLEF
杨大春, M
,-0001,():
-1年11月30日
An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds in X, or equivalently, that there exists a constant a0 > 1 such that for all x ∈ X and 0 < r < diam (X)=a0, the annulus B(x, a0r) n B(x, r) is nonempty, where diam (X) denotes the diameter of the metric space (X, d). An important class of RD-spaces is provided by Carnot-Caratheodory spaces with a doubling measure. In this paper, the authors introduce some spaces of Lipschitz type on RD-spaces, and discuss their relations with known Besov and Triebel-Lizorkin spaces and various Sobolev spaces.
RD-space, space of Lipschitz type, Besov space, Triebel-Lizorkin space, Sobolev space, difference characterization
-
84浏览
-
0点赞
-
0收藏
-
0分享
-
168下载
-
0
-
引用
【期刊论文】Some new spaces of Besov and Triebel-Lizorkin type on homogeneous spaces
杨大春, Yongsheng Han, Dachun Yang
STUDIA MATHEMATICA 156(1)(2003),-0001,():
-1年11月30日
New norms for some distributions on spaces of homogeneous type which include some fractals are introduced. Using inhomogeneous discrete Calderon reproducing formulae and the Plancherel-Polya inequalities on spaces of homogeneous type, the authors prove that these norms give a new characterization for the Besov and Triebel-Lizorkin spaces with p; q > 1 and can be used to introduce new inhomogeneous Besov and Triebel-Lizorkin spaces with p; q≤ 1 on spaces of homogeneous type. Moreover, atomic decompositions of these new spaces are also obtained. All the results of this paper are new even for Rn.
space of homogeneous type, Plancherel-Polya inequality, Besov space, Triebel-Lizorkin space, Calderon reproducing formula, Littlewood-Paley Sfunction, Littlewood-Paley g-function, unit, molecule
-
69浏览
-
0点赞
-
0收藏
-
0分享
-
103下载
-
0
-
引用
【期刊论文】Besov spaces on spaces of homogeneous type and fractals
杨大春, Dachun Yang
STUDIA MATHEMATICA 156(1)(2003),-0001,():
-1年11月30日
Let Γ be a compact d-set in Rn with 0 < d ≤n, which includes various kinds of fractals. The author shows that the Besov spaces Bspq(Γ) defined by two different and equivalent methods, namely, via traces and quarkonial decompositions in the sense of Triebel are the same spaces as those obtained by regarding Γ as a space of homogeneous type when 0 < s < 1, 1 < p <∞ and 1≤q≤∞.
Besov spaces, atoms, blocks, d-sets, fractals, spaces of homogeneous type
-
58浏览
-
0点赞
-
0收藏
-
0分享
-
90下载
-
0
-
引用
【期刊论文】Hp boundedness of Calderon-Zygmund operators on product spaces
杨大春, Yongsheng Han, Dachun Yang
Math. Z. 249, 869-881(2005),-0001,():
-1年11月30日
In this paper, we prove the product Hp boundedness of Calderon-Zygmund operators which were considered by Fefferman and Stein. The methods used in this paper are new even for the classical Hp boundedness of Calderon-Zygmund operators, namely, using some subtle estimates together with the Hp−Lp boundedness of product vector valued Calderon-Zygmund operators.
-
57浏览
-
0点赞
-
0收藏
-
0分享
-
45下载
-
0
-
引用