In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases....In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means.展开更多
The purpose of the present paper is to evaluate the error of the approximation of the func- tion fL_1[0,1]by Kantorovich-Bernstein polynomials in L_p-metric(0<p<1).
In this paper, we investigate the space of <em>L<sup>p</sup> p</em>-harmonic 1-forms on a complete noncompact orientable <em>δ</em>-stable hypersurface <em>M<sup>m</...In this paper, we investigate the space of <em>L<sup>p</sup> p</em>-harmonic 1-forms on a complete noncompact orientable <em>δ</em>-stable hypersurface <em>M<sup>m</sup></em> that is immersed in space form <img src="Edit_6fbc11b9-ac23-40e2-b045-0fb25419337d.png" width="35" height="23" alt="" /> with nonnegative BiRic curvature. We prove the nonexistence of <em>L<sup>p</sup> p</em>-harmonic 1-forms on <em>M<sup>m</sup></em>. Moreover, we obtain some vanishing properties for this class of harmonic 1-forms.展开更多
It is well known that if f(z) belongs to Hardy space H^P in the upper plane, where 1≤p≤∞, then f(x+iy) is the Poisson integral of the corresponding boundary function on real axis. And the Paley-Wiener theorem was p...It is well known that if f(z) belongs to Hardy space H^P in the upper plane, where 1≤p≤∞, then f(x+iy) is the Poisson integral of the corresponding boundary function on real axis. And the Paley-Wiener theorem was proved for 1≤p≤2. The situation becomes different in the ease 0<p<1, since the Poisson integral formula is not established when the boundary value is taken by a function of L^P (0<p<1), which is defined almost everywhere on real axis. The classical argument of the proof of Paley-Wiener theorem does not seem quite appli-展开更多
Let D={z∈: |z|【1} and φ be a normal function on [0, 1). For p∈(0, 1) such a function φ is used to define a Bergman space A^p(φ) on D with weight φ~p(|·|)/(1-|·|~2). In this paper, the dual space of A...Let D={z∈: |z|【1} and φ be a normal function on [0, 1). For p∈(0, 1) such a function φ is used to define a Bergman space A^p(φ) on D with weight φ~p(|·|)/(1-|·|~2). In this paper, the dual space of A^p(φ) is given, four characteristics of Carleson measure on A^p(φ) are obtained. Moreover, as an application, three sequence interpolation theorems in A^p(φ) are derived.展开更多
The title compound (p-methylphenylbis(4, 4-dimethyl-6-hydroxycyclohexene-1-one-2-yl)methane) has been synthesized by the reaction of 4-methylbenzaldehyde and 5, 5-dimethyl-1, 3-cyclohexanedione in N,N-dimethylformamid...The title compound (p-methylphenylbis(4, 4-dimethyl-6-hydroxycyclohexene-1-one-2-yl)methane) has been synthesized by the reaction of 4-methylbenzaldehyde and 5, 5-dimethyl-1, 3-cyclohexanedione in N,N-dimethylformamide. Its structure was determined by single crystal X-ray diffraction. The Crystal is monoclinic, space group P21/a, a=0. 9304 (2)nm, b=1. 1754 (2)nm, c=2. 0134 (4)nm, β=102. 40(2)°, Mr= 382. 50, V=2. 1505 (7)nm3, Dc = 1. 181g/cm3, Z=4, μ(MoKα) = 0. 79cm-1, F(000) = 856.The structure was solved by direct methods, and refined by full-matris least-Squares method to a final R =0. 042 and Rw = 0. 045. The crystal structure shows that there are two conjugated enol form in the molecule.展开更多
文摘In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means.
文摘The purpose of the present paper is to evaluate the error of the approximation of the func- tion fL_1[0,1]by Kantorovich-Bernstein polynomials in L_p-metric(0<p<1).
文摘In this paper, we investigate the space of <em>L<sup>p</sup> p</em>-harmonic 1-forms on a complete noncompact orientable <em>δ</em>-stable hypersurface <em>M<sup>m</sup></em> that is immersed in space form <img src="Edit_6fbc11b9-ac23-40e2-b045-0fb25419337d.png" width="35" height="23" alt="" /> with nonnegative BiRic curvature. We prove the nonexistence of <em>L<sup>p</sup> p</em>-harmonic 1-forms on <em>M<sup>m</sup></em>. Moreover, we obtain some vanishing properties for this class of harmonic 1-forms.
文摘It is well known that if f(z) belongs to Hardy space H^P in the upper plane, where 1≤p≤∞, then f(x+iy) is the Poisson integral of the corresponding boundary function on real axis. And the Paley-Wiener theorem was proved for 1≤p≤2. The situation becomes different in the ease 0<p<1, since the Poisson integral formula is not established when the boundary value is taken by a function of L^P (0<p<1), which is defined almost everywhere on real axis. The classical argument of the proof of Paley-Wiener theorem does not seem quite appli-
基金Supported by the Doctoral Program Foundation of Institute of Higher Education, P.R. China.
文摘Let D={z∈: |z|【1} and φ be a normal function on [0, 1). For p∈(0, 1) such a function φ is used to define a Bergman space A^p(φ) on D with weight φ~p(|·|)/(1-|·|~2). In this paper, the dual space of A^p(φ) is given, four characteristics of Carleson measure on A^p(φ) are obtained. Moreover, as an application, three sequence interpolation theorems in A^p(φ) are derived.
文摘The title compound (p-methylphenylbis(4, 4-dimethyl-6-hydroxycyclohexene-1-one-2-yl)methane) has been synthesized by the reaction of 4-methylbenzaldehyde and 5, 5-dimethyl-1, 3-cyclohexanedione in N,N-dimethylformamide. Its structure was determined by single crystal X-ray diffraction. The Crystal is monoclinic, space group P21/a, a=0. 9304 (2)nm, b=1. 1754 (2)nm, c=2. 0134 (4)nm, β=102. 40(2)°, Mr= 382. 50, V=2. 1505 (7)nm3, Dc = 1. 181g/cm3, Z=4, μ(MoKα) = 0. 79cm-1, F(000) = 856.The structure was solved by direct methods, and refined by full-matris least-Squares method to a final R =0. 042 and Rw = 0. 045. The crystal structure shows that there are two conjugated enol form in the molecule.
