From November 16-17, 2023, the Vietnam Institute of Advanced Study in Mathematics organised Workshop on Harmonic Analysis and Several Complex Variables 2023. The workshop aims to bring both active senior researchers and young mathematicians in Harmonic Analysis, Geometric Analysis and Several Complex Variables and to foster an exchange of ideas between these fields. The invited speakers will present their interests, and latest results and discuss their ongoing projects. Particularly, the organizers hope the workshop can create opportunities for collaborative research among participating members.
Speakers and participants at the workshop
The conference program takes place over 2 days with 13 presentations from the Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi University of Science and Technology, Hanoi University of Pedagogy, International University, Ho Chi Minh City National University, Quy Nhon University, Phenikaa University, etc.
The workshop has attracted more than 15 scientists from various universities both within and outside the country, including Prof. Pham Hoang Hiep (Institute of Mathematics, Vietnam Academy of Science and Technology), Prof. Nguyen Quang Dieu (Hanoi University of Pedagogy), Assoc. Prof. Dr. Pham Hoang Ha (Hanoi University of Pedagogy), Assoc. Prof. Dr. Nguyen Xuan Hong (Hanoi University of Pedagogy), Assoc. Prof. Dr. Tran Vu Khanh (International University, Ho Chi Minh City National University), Assoc. Prof. Phung Van Manh (Hanoi University of Pedagogy), Assoc. Prof. Luong Dang Ky (Quy Nhon University), etc.
Especially, the conference has provided an opportunity for young researchers to listen to and directly exchange ideas with experts in the fields of Harmonic Analysis and Multivariable Complex Analysis.
Assoc. Prof. Tran Vu Khanh delivers the opening speech at the conference
On behalf of the Program Committee, Assoc. Prof. Dr. Tran Vu Khanh shared insights about the conference's content and introduced the distinguished guests. Professor Khanh hopes that collaboration among scientists in this field will continue to thrive in the coming years. While there are many excellent presentations at the conference, due to limitations in capabilities and the restricted duration of the news, we seek your understanding as we focus on reporting only a few lectures. The order of the presentations is based on their appearance in the conference program.
Prof. Nguyen Quang Dieu
Opening the conference, Prof. Nguyen Quang Dieu (Hanoi National University of Education) reported on the existence and uniqueness of certain weighted complex m-Hessian equations on bounded m-hyperconvex domains in C^n. The solutions belong to Cegrell classes of m-subharmonic functions. A key ingredient is a version of the comparison principle for the weighted m- Hessian operator.
Prof. Pham Hoang Hiep
Prof. Pham Hoang Hiep (ICRTM, Institute of Mathematics) reported on Singularity invariants of plurisubharmonic functions. Prof. Pham Hoang Hiep combine tools in pluripotential theory and commutative algebra to study singularity invariants of plurisubharmonic functions. He obtained some relationships between singularity invariants of plurisubharmonic functions and holomorphic functions. Finally, he give some applications of our results to singularity invariants of complex spaces.
Assoc Prof. Phung Van Manh
Study on the condition number of the Newton interpolation was reported by Assoc Prof. Phung Van Manh (Hanoi National University of Education). He proves that the condition number of Newton's formula at the first n points of a Leja sequence for the closed unit disk and at the first $n$ points of a R-Leja sequence grow polynomially in n. We also point out that the condition number corresponding to any n+1 distinct points on the unit circle is greater than n^c, where 0<c<1 is an absolute constant.
Dr. Dao Nguyen Anh
Dr. Dao Nguyen Anh (University of Economics Ho Chi Minh City) discussed the boundedness and compactness of operators of Calderón--Zygmund type. Furthermore, I present the Hardy factorization in terms of commutators of Calderón--Zygmund operators. As a consequence, one obtains the characterizations of functions in BMO, VMO spaces.
Assoc Prof. Luong Dang Ky
In this talk, Assoc Prof . Luong Dang Ky (Quy Nhon University) presented the theory of new Hardy spaces of Musielak-Orlicz type and some results related to the theory of commutators of singular integral operators on Hardy-type spaces.
In addition to specialized presentations, the conference also organizes tea breaks to provide opportunities for scientists to meet, explore collaboration possibilities, and engage in scholarly exchanges.
Other photos from the workshop:
