


Paper's Title:
A Different Proof for the nonExistence of HilbertSchmidt Hankel Operators with AntiHolomorphic Symbols on the Bergman Space
Author(s):
Georg Schneider
Universität Wien, Brünnerstr. 72 A1210 Wien,
Austria.
georg.schneider@univie.ac.at
URL: http://www.univie.ac.at/bwl/cont/mitarbeiter/schneider.htm
Abstract:
We show that there are no (nontrivial) HilbertSchmidt Hankel operators with antiholomorphic symbols on the Bergman space of the unitball B^{2}(B^{l}) for l≥2. The result dates back to [6]. However, we give a different proof. The methodology can be easily applied to other more general settings. Especially, as indicated in the section containing generalizations, the new methodology allows to prove some robustness results for existing ones.
Paper's Title:
Isoperimetric Inequalities for Dual Harmonic Quermassintegrals
Author(s):
Yuan Jun, Zao Lingzhi and Duan Xibo
School of Mathematics and Computer Science,
Nanjing Normal University, Nanjing, 210097,
China.
yuanjun_math@126.com
Department of Mathematics, Nanjing Xiaozhuang University,
Nanjing, 211171,
China.
lzhzhao@163.com
Department of Mathematics, Shandong Water Polytechnic,
Shandong, 276826,
China
dxb1111@sohu.com
Abstract:
In this paper, some isoperimetric inequalities for the dual harmonic quermassintegrals are established.
Paper's Title:
An Easy and Efficient Way for Solving A class of Singular Two Point Boundary Value Problems
Author(s):
Muhammed I. Syam, Muhammed N. Anwar and Basem S. Attili
Mathematical Sciences Department
United Arab Emirates University, P. O. Box 17551
AlAin, United Arab Emirates
b.attili@uaeu.ac.ae
Abstract:
We will consider an efficient and easy way for solving a certain class of singular two point boundary value problems. We will employ the least squares method which proved to be efficient for this type of problems. Enough examples that were considered by others will be solved with comparison with the results presented there.
Paper's Title:
Note on the Rank of Birkhoff Interpolation
Author(s):
J. RubióMassegú
Applied Mathematics III, Universitat Politècnica de Catalunya,
Colom 1, 08222, Terrassa,
Spain
josep.rubio@upc.edu
Abstract:
The relationship between a variant of the rank of a univariate Birkhoff interpolation problem, called normal rank, and other numbers of interest associated to the interpolation problem is studied.
Paper's Title:
Wavelet Frames in Higher Dimensional Sobolev Spaces
Author(s):
Raj Kumar, Manish Chauhan, and Reena
Department of Mathematics,
Kirori Mal College, University of Delhi,
New Delhi110007,
India.
Email: rajkmc@gmail.com
Department of Mathematics,
University of Delhi,
New Delhi110007,
India
Email: manish17102021@gmail.com
Department of Mathematics,
Hans Raj College, University of Delhi,
New Delhi110007,
India
Email: reena.bhagwat29@gmail.com
Abstract:
In this paper, we present sufficient condition for the sequence of vectors to be a frame for H^{s}(R^{d}) are derived. Necessary and sufficient conditions for the sequence of vectors to be tight wavelet frames in H^{s}(R^{d}) are obtained. Further, as an application an example of tight wavelet frames for H^{s}(R^{2}) as bivariate box spline over 3direction are given.
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