Math Dept. Seminar - "Norm estimates of the first partial derivatives of harmonic and α-harmonic functions" - Prof. Miodrag Mateljevi

=====================================================================================

College of Computing and Mathematics

 

Mathematics Department

=====================================================================================

Presents a Seminar

 

"Norm estimates of the first partial derivatives of harmonic and α-harmonic functions"

 

 

Date: Wednesday, March 29, 2023

Time:  11:00 am

Location: Bldg. 5, Room 103

 

Speaker:

Prof. Miodrag Mateljevic

Department of Mathematics

University of Belgrade, Serbia.

 

Abstract:

The aim of this talk is to answer the following natural question: under what conditions on the boundary function F to  ensure that the partial derivatives of its harmonic extension f = P[F], i.e.,    and   are in the space   , the Bergman, or  the holomorphic Hady  spaces of the unit disc  with     . We will simplify and extend the recent results of Chen et al. (J. Geom. Anal., 2021)  and  Zhu   (J. Geom. Anal., 2020).

Next, we consider the corresponding problem for some weighted harmonic functions called α-harmonic.

 

 

Short bio of presenter:

Prof. Mateljevic is a full Professor of the University of Belgrade and full member of the Serbian Academy of Sciences and Arts. His research area includes Complex and Harmonic analysis, quasi-conformal theory and Teichmuller problems.

 

=====================================================================================

All faculty, researchers and graduate students are invited to attend.

 

Department of Mathematics, College of Computing and Mathematics

Telephone: +966 (13) 860 2193, Email: c-math@kfupm.edu.sa,

Website: www.kfupm.edu.sa/departments/math/

 

Copyright © 2014 King Fahd University of Petroleum & Minerals

=====================================================================================