共查询到20条相似文献,搜索用时 31 毫秒
1.
Sorin G> Gal 《Journal of Computational Analysis and Applications》2000,2(3):265-276
Starting from the equivalence between the Ditzian–Totik modulus
and
, where
, in this article large classes of functions
are introduced for which the modulus
can be easily calculated. As a consequence, very good estimates for the bestapproximation are obtained. The attempts to estimate or calculate themodulus
can be a very intricateproblem. 相似文献
2.
Let
denote the closed subspace of
consisting of analytic functions in the unit disk
. For certain class of subharmonic
, the Hankel operatorH
b on
with symbol
is studied. Criteria for boundedness and compactness of such kind of Hankel operators are presented.R. Rochberg's research was partially supported by a grant from the National Science Foundation. 相似文献
3.
Any transversally holomorphic foliated map
of Kählerianfoliations with
harmonic, is shown to be a transversallyharmonic map and an absolute minimum of the energy functional
inits foliated homotopy class. 相似文献
4.
Effective sufficient conditions are established for the solvability and unique solvability of the boundary value problem
where
is a matrix-function with bounded variation components,
is a vector-function belonging to the Carathéodory class corresponding to
are continuous functionals (in general nonlinear) defined on the set of all vector-functions of bounded variation. 相似文献
5.
For 2-periodic polynomial splines of order r, of minimal defect, with nodes at the points k/n, n , there are established the sharp inequalities
相似文献
6.
Yu. V. Dymchenko 《Journal of Mathematical Sciences》2003,118(1):4795-4807
We study properties of the capacity of a condenser and of the module of a family of curves on a surface. Some properties of the spaces
and
are established. These properties are applied in proving that the capacity and module of a capacity on a surface are equal. Bibliography: 9 titles. 相似文献
7.
The following classes of functions analytic in the unit disk are considered:
8.
9.
Let
be a C*-algebra and X a Hilbert C*
-module. If
is a projection, let
be the p-sphere of X. For φ a state of
with support p in
and
consider the modular vector state φx of
given by
The spheres
provide fibrations
10.
V. V. Lebedev 《Functional Analysis and Its Applications》2002,36(1):25-29
We consider the algebra
of absolutely convergent Fourier series on the circle
. According to the Beurling–Helson theorem, the condition
, implies that
is trivial:
. We construct a nontrivial diffeomorphism
of
onto itself such that
, where (n) is an arbitrary given sequence with
. By analogy with a conjecture due to Kahane, it is natural to suppose that this rate of growth is the slowest possible. 相似文献
11.
Suppose that
is an arbitrary finite complex Borel measure on the interval
is its Poisson integral,
and
are the conjugate harmonics of
, and
is the nontangential limiting value of the analytic function
as
. In this paper, we consider the problem of representing the analytic function
in terms of its boundary values
. 相似文献
12.
For each
, we solve the following variational problem
and we show that
.Received: 4 November 2003, Accepted: 10 May 2004, Published online: 16 July 2004Radu Ignat: Radu.Ignat@ens.fr 相似文献
13.
O. N. Litvin 《Ukrainian Mathematical Journal》1990,42(12):1452-1461
An algorithm for constructing the operator OMn({kx}; x, y) with the properties
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