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【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.
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【期刊论文】BOUNDEDNESS OF SINGULAR INTEGRALS OF VARIABLE ROUGH CALDERON-ZYGMUND KERNELS ALONG SURFACES
杨大春, LIN TANG, DACHUN YANG
Integr. Equ. oper. Theory 43(2002)488-502,-0001,():
-1年11月30日
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【期刊论文】A DIFFERENCE CHARACTERIZATION OF BESOV AND TRIEBEL-LIZORKIN SPACES ON RD-SPACES DETLEF
杨大春, M
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-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
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【期刊论文】Spectral Theory of Riesz Potentials on Quasi–Metric Spaces
杨大春, Hans Triebel, Dachun Yang
Math. Nachr. 238(2002), 160-184,-0001,():
-1年11月30日
This paper deals with spectral assertions of Riesz potentials in some classes of quasimetric spaces. In addition we survey briefly a few related subjects: integral operators, local means and function spaces, euclidean charts of quasi–metric spaces, relations to fractal geometry.
Riesz potentials, eigenvalue distributions, spaces of homogeneous type, Besov spaces, entropy numbers
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【期刊论文】Riesz Potentials in Besov and Triebel–Lizorkin Spaces over Spaces of Homogeneous Type
杨大春, DACHUN YANG
Potential Analysis 19: 193-210, 2003,-0001,():
-1年11月30日
By using the discrete Calderón reproducing formulae, the author first establishes the boundedness of the Riesz-potential-type operator in homogeneous Besov and Triebel–Lizorkin spaces over spaces of homogeneous type. Then, by use of the T 1 theorems for these spaces, the author proves that this operator of Riesz potential type can be used as the lifting operator of these spaces.
space of homogeneous type, Riesz potential, Besov space, Triebel–Lizorkin space
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