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7: Paper Source PDF document

Paper's Title:

A Different Proof for the non-Existence of Hilbert-Schmidt Hankel Operators with Anti-Holomorphic Symbols on the Bergman Space

Author(s):

Georg Schneider

Universität Wien, Brünnerstr. 72 A-1210 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 (non-trivial) Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on the Bergman space of the unit-ball B2(Bl) 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.



2: Paper Source PDF document

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.



1: Paper Source PDF document

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
Al-Ain, 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.



1: Paper Source PDF document

Paper's Title:

Note on the Rank of Birkhoff Interpolation

Author(s):

J. Rubió-Massegú

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.



1: Paper Source PDF document

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 Delhi-110007,
India.
E-mail: rajkmc@gmail.com

Department of Mathematics,
University of Delhi,
New Delhi-110007,
India
E-mail: manish17102021@gmail.com

Department of Mathematics,
Hans Raj College, University of Delhi,
New Delhi-110007,
India
E-mail: reena.bhagwat29@gmail.com

Abstract:

In this paper, we present sufficient condition for the sequence of vectors to be a frame for Hs(Rd) are derived. Necessary and sufficient conditions for the sequence of vectors to be tight wavelet frames in Hs(Rd) are obtained. Further, as an application an example of tight wavelet frames for Hs(R2) as bivariate box spline over 3-direction are given.


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