共查询到20条相似文献,搜索用时 15 毫秒
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V. V. Andrievskii 《Ukrainian Mathematical Journal》1993,45(11):1649-1658
The direct theorem of the theory of approximation of harmonic functions is established in the case of functions defined on a compact set, the complement of which with respect to is a John domain.Published in Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 11, pp. 1467–1475, November, 1993. 相似文献
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In this paper three Banach spacesA
0(),A
andA
1() of functions holomorphic in the unit ballB of
n
are defined. We exhibit bounded projections fromC
0(B) ontoA
0(), fromL
1(B) ontoA
1(), and fromL(B) ontoA(). Using these projections, we show thatA
0()* A
1() andA
1()* A().Supported in part by the National Natural Science Foundation of China. 相似文献
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In this paper we study the injectivity and injectivity sets for the twisted spherical means on ℂ
n
. These results are then used to study the same problems on the reduced Hiesenberg group. 相似文献
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We give a Schwarz-Pick estimate for bounded holomorphic functions on unit ball in Cn, and generalize some early work of Schwarz-Pick estimates for bounded holomorphic functions on unit disk in C. 相似文献
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Takashi Yoshino 《Integral Equations and Operator Theory》2001,41(1):115-122
It is known that the characterizations of the Toeplitz operatorT
onH
2 and also the Hankel operatorH
onH
2 by using the simple unilateral shiftT
z
. Recently, some characterization of the normal Toeplitz matrix truncated on
n
is given by D.R.Farenick, M. Krupnik, N. Krupnik and W. Y. Lee [1] and, independently, by T.Ito [2]. In this paper, we shall give some characterizations of the Toeplitz matrix and also the Hankel matrix truncated on
n
.Dedicated to Professor Masanori Fukamiya on his 88th birthday 相似文献
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Jingzhi Tie 《偏微分方程通讯》2013,38(7):1047-1069
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LetM, M′ be smooth, real analytic hypersurfaces of finite type in ℂn and
a holomorphic correspondence (not necessarily proper) that is defined on one side ofM, extends continuously up toM and mapsM to M′. It is shown that
must extend acrossM as a locally proper holomorphic correspondence. This is a version for correspondences of the Diederich-Pinchuk extension
result for CR maps. 相似文献
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On the unit ball of ? n , the space of those holomorphic functions satisfying mean Lipschitz condition $$ \int_0^1 \omega^*_p(t, f)^q \frac{dt}{t^{1+ q}} <\infty$$ is characterized by integral growth conditions of the tangential derivatives as well as the radial derivatives, where \(\omega^*_p(t, f)\) denotes the double difference L p modulus of continuity defined in terms of the unitary transformations of ? n . 相似文献
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We prove Pólya’s conjecture of 1943: For a real entire function of order greater than 2 with finitely many non-real zeros,
the number of non-real zeros of the nth derivative tends to infinity, as . We use the saddle point method and potential theory, combined with the theory of analytic functions with positive imaginary
part in the upper half-plane. 相似文献
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Roughly speaking a regular Dirichlet subspace of a Dirichlet form is a subspace which is also a regular Dirichlet form on the same state space. In particular, the domain of regular Dirichlet subspace is a closed subspace of the Hilbert space induced by the domain and α-inner product of original Dirichlet form. We investigate the orthogonal complement of regular Dirichlet subspace for one-dimensional Brownian motion in this paper. Our main results indicate that this orthogonal complement has a very close connection with theα-harmonic equation under Neumann type condition. 相似文献
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Lian Kuo Zhao 《数学学报(英文版)》2015,31(11):1789-1797
This paper characterizes a class of normal weighted composition operators and their spectrum on the Fock space of Cn. 相似文献
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In this article, we compute the first space of cohomology of Vect (? n|n ), the Lie superalgebra of vector fields on the supermanifold ? n|n with coefficients in 𝒻 (? n|n ), the space of smooth functions on ? n|n . We give a super analog of the cohomologies of vector fields that where studied for instance by Fuchs [2]. This work allows us to classify the deformations of the action of Vect(? n|n ) on 𝒻 (? n|n ). 相似文献
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Michael Welter 《manuscripta mathematica》2000,103(1):63-74
In this paper we study functions which together with all their derivatives take values in a number field ? on a sequence (u
n
) in ? satisfying certain conditions. As one corollary we get a result on the growth rate of entire transcendental functions
whose derivatives assume integral values on the geometric progression u
n
,n= 0,1,…. In a second theorem we prove that the lower bound for the growth rate stated in the corollary is best possible.
Received: 16 May 2000 相似文献
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D. Preiss proved that the graph of the derivative of a continuous Gateaux-differentiable function f : ℝ2 → ℝ is always connected. We show that this is no longer true in higher dimensions: we construct a continuous, Gateaux-differentiable
function f : ℝ3 → ℝ for which the range of its gradient mapping {∇ f(x) : x ∈ ℝ3} is disconnected. We also give an example of an approximately differentiable continuous function on ℝ2 such that the range of its gradient mapping is disconnected.
The work is a part of the research project MSM 0021620839 financed by MSMT and it was also partly supported by GAČR 201/06/0198
and GAČR 201/06/0018. 相似文献
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《Quaestiones Mathematicae》2013,36(8):1091-1099
AbstractGiven a space X, we will say that a class of subsets of X is dominated by a class ? if for any A ∈ , there exists a B ∈ ? such that A ? . In particular, all (closed) discrete subsets of X are countably dominated (which we frequently abbreviate as ω-dominated) if, for any (closed) discrete set D ? X, there exists a countable set B ? X such that D ? . In this paper, we investigate the topological properties of spaces in which (closed) discrete subspaces are dominated either by countable subsets or by Lindelöf subspaces. 相似文献