共查询到20条相似文献,搜索用时 31 毫秒
1.
E. G. Kwon 《Integral Equations and Operator Theory》2009,64(2):251-260
We characterize the composition operators mapping Blochs boundedly into the weighted Bergman spaces of logarithmic weight.
For 0 < p < ∞, 1 < α < ∞, let Ap, log α denote the space of holomorphic functions F in the unit disc D for which
and let Ap, log ασ denote the class of holomorphic self maps f of D for which
Then for the Bloch pullback operator Cf, the following are equivalent:
This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD, Basic Research Promotion
Fund) (KRF-2007-313-C00026). 相似文献
(1) | Cf maps Bloch space boundedly into A2p, log α |
(2) | |
(3) | . |
2.
Let U(λ, μ) denote the class of all normalized analytic functions f in the unit disk |z| < 1 satisfying the condition
$
\frac{{f(z)}}
{z} \ne 0and\left| {f'(z)\left( {\frac{z}
{{f(z)}}} \right)^{\mu + 1} - 1} \right| < \lambda ,\left| z \right| < 1.
$
\frac{{f(z)}}
{z} \ne 0and\left| {f'(z)\left( {\frac{z}
{{f(z)}}} \right)^{\mu + 1} - 1} \right| < \lambda ,\left| z \right| < 1.
相似文献
3.
E. I. Berezhnoi 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2009,44(3):163-171
Under the assumptions that Δ(f, h)(t) = |f(t + h) − f(t)|, X is a symmetric space of functions in [0, 1], α ∈ (0, 1) and p ∈ [1, ∞) are any fixed number, by the triple (X, α, p) a Besov type space Λ
X,p
α
is constructed, where the norm is given by the equality
4.
K. F. Cheng 《Annals of the Institute of Statistical Mathematics》1982,34(1):479-489
Summary Letf
n
(p)
be a recursive kernel estimate off
(p) thepth order derivative of the probability density functionf, based on a random sample of sizen. In this paper, we provide bounds for the moments of
and show that the rate of almost sure convergence of
to zero isO(n
−α), α<(r−p)/(2r+1), iff
(r),r>p≧0, is a continuousL
2(−∞, ∞) function. Similar rate-factor is also obtained for the almost sure convergence of
to zero under different conditions onf.
This work was supported in part by the Research Foundation of SUNY. 相似文献
5.
Notes on combinatorial set theory 总被引:1,自引:0,他引:1
Saharon Shelah 《Israel Journal of Mathematics》1973,14(3):262-277
We shall prove some unconnected theorems: (1) (G.C.H.) \omega _{\alpha + 1} \to \left( {\omega _\alpha + \xi } \right)_2^2 when ℵα is regular, │ξ│+<ωα. (2) There is a Jonsson algebra in ℵα+n, and \aleph _{a + n} \not \to \left[ {\aleph _{a + n} } \right]_{\aleph _{a + n} }^{n + 1} if 2^{\aleph _{ - - } } = \aleph
_{a + n} \cdot (3) If λ>ℵ0 is a strong limit cardinal, then among the graphs with ≦λ vertices each of valence <λ there is a universal one. (4)(G.C.H.) If f is a set mapping on \omega _{a + 1} (ℵα regular) │f(x)∩f(y│<ℵα, then there is a free subset of order-type ζ for every ζ<ωα+1. 相似文献
6.
Tong-jun He You-liang Hou 《应用数学学报(英文版)》2005,21(4):671-682
In this paper we study tree martingales and proved that if 1≤α,β〈∞,1≤p〈∞ then for every predictable tree martingale f=(ft,t∞T)and E[σ^(P)(f)]〈∞,E[S^(P)(f)]〈∞,it holds that ‖(St^(p)(f),t∈T)‖M^α∞≤Cαβ‖f‖p^αβ,‖(σt^(p)(f),t∈T)‖M^α,β‖f‖P^αβ,where Cαβ depends only on α and β. 相似文献
7.
Piotr Kot 《Czechoslovak Mathematical Journal》2009,59(2):371-379
We solve the following Dirichlet problem on the bounded balanced domain with some additional properties: For p > 0 and a positive lower semi-continuous function u on ∂Ω with u(z) = u(λ z) for |λ| = 1, z ∈ ∂Ω we construct a holomorphic function f ∈ (Ω) such that for z ∈ ∂Ω, where = {λ ∈ ℂ: |λ| < 1}.
相似文献
8.
S. P. Sidorov 《Numerical Algorithms》2007,44(3):273-279
Let , –1<x
1<...<x
n
<1. Denote , t∈(–1,1). Given a function f∈W we try to recover f(ζ) at fixed point ζ∈(–1,1) by an algorithm A on the basis of the information f(x
1),...,f(x
n
). We find the intrinsic error of recovery .
This work is supported by RFBR (grant 07-01-00167-a and grant 06-01-00003). 相似文献
9.
We describe sequences of zeros of functionsf≢0 that are analytic in the half-plane ℂ+={z:Rez> and satisfy the condition
10.
In this paper we establish results on the existence of nontangential limits for weighted
-harmonic functions in the weighted Sobolev space
, for some q>1 and w in the Muckenhoupt A
q
class, where
is the unit ball in
. These results generalize the ones in Sect. 3 of Koskela et al., Trans. Am. Math. Soc. 348(2), 755–766, 1996, where the weight was identically equal to one. Weighted
-harmonic functions are weak solutions of the partial differential equation
11.
We prove the existence of a positive and smooth solution for the following semilinear elliptic problem:
% MathType!End!2!1! for anya∈R
N
, 1<p<1+2/N andq=(p+1)/2. This solution decays exponentially as |x|→+∞. Moreover, if |a| is sufficiently small, this positive and rapidly decaying solution is unique.
The existence of a positive, self-similar solution
% MathType!End!2!1! follows for the following convection-diffusion equation with absorption:
% MathType!End!2!1!. It is also a very singular solution. This solution decays as |x|→+∞ for anyt>0 fixed.
Because of the nonvariational nature of the elliptic problem, a fixed point method is used for proving the existence result.
The uniqueness is proved applying the Implicit Function Theorem.
The work of the first author has been partially supported by Grant 1273/00003/88 of the University of the Basque Country.
The work of the second author has been supported by Grant PB 86-0112-C02-00 of the Dirección General de Investigación Científica
y Técnica. 相似文献
12.
Let A
0, ... , A
n−1 be operators on a separable complex Hilbert space , and let α0,..., α
n−1 be positive real numbers such that 1. We prove that for every unitarily invariant norm,
13.
In this paper we consider
, in one case that fx
0 (t) is a ΛBMV function on [0, ∞], and in another case thatfεL
1
m-1(Rn) and
when |k|=m−1 and f(x)=0 when |x−x0|<δ for some δ>0. Our theormes improve the results of Pan Wenjie ([1]). 相似文献
14.
Jiao Yulan 《分析论及其应用》2004,20(4):373-382
Lp(Rn) boundedness is considered for the multilinear singular integral operator defined by TAf(x) = ∫Rn Ω(x - y)/|x - y|n 1 (A(x) - A(y) - (△)A(y)(x - y))f(y)dy,where Ω is homogeneous of degree zero, integrable on the unit sphere and has vanishing moment of order one. A has derivatives of order one in BMO(Rn). We give a smoothness condition which is fairly weaker than that Ω∈ Lipα(Sn-1) (0 <α≤ 1) and implies the Lp(Rn) (1 < p < oo) boundedness for the operator TA. Some endpoint estimates are also established. 相似文献
15.
E. G. Goluzina 《Journal of Mathematical Sciences》1997,83(6):745-749
Let Mk,λ(0≤λ≤1, k≥2) be the class of functions f(z)=1/z+ao+a1z+... that are regular and locally univalent for 0<⩛z⩛<1 and satisfy the condition
where Jλ(z)=λ(1+zf″(z)/f'(z))+(1-λ)zf'(z)/f(z). In the class Mk,λ we consider sorne coefficient problems and problems concerning distortion theorems.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 212, 1994, pp. 91–96.
Translated by N. Yu. Netsvetaev. 相似文献
16.
The pseudorelativistic Hamiltonian
is considered under wide conditions on potentials A(x), W(x). It is assumed that a real point λ is regular for G1/2. Let G1/2(α)=G1/2−αV, where α>0, V(x)≥0, and V ∈L
d(ℝd). Denote by N(λ, α) the number of eigenvalues of G1/2(t) that cross the point λ as t increases from 0 to α. A Weyl-type asymptotics is obtained for N(λ, α) as α→∞. Bibliography:
5 titles.
To O. A. Ladyzhenskaya
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 249, 1997. pp. 102–117.
Translated by A. B. Pushnitskii. 相似文献
17.
It is shown that in the spacesA
R
(0 <R ⩽ ∞) of all functions which are single-valued and analytic in the disk |z| < R with the topology of compact convergence,
the differential operator of infinite order with constant coefficients
is equivalent to the operator Dn (n is a fixed natural number) if and only if
and |ϕ
n
| = 1 for R < ∞ or ϕ
n
≠ 0 for R = ∞. Also the equivalence of two shift operators in the space A∞ is investigated.
Translated from Matematicheskie Zametki, Vol. 21, No. 1, pp. 33–37, January, 1977. 相似文献
18.
A. V. Harutyunyan W. Lusky 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2010,45(3):128-135
Let U
n
be the unit polydisk in C
n
and S be the space of functions of regular variation. Let 1 ≤ p < ∞, ω = (ω
1, ..., ω
n
), ω
j
∈ S(1 ≤ j ≤ n) and f ∈ H(U
n
). The function f is said to be in holomorphic Besov space B
p
(ω) if
|