Luke Edholm

Personal Information


Phone+43 1 4277 9803269

AddressOskar-Morgenstern-Platz 1, 1090 Vienna, Austria

Orcid iD: 0000-0001-8659-8864

Research Interests

I work in analysis, mainly in several complex variables, CR geometry and harmonic analysis and special function theory. I use integral operators like the Bergman projection, Szegö projection, the Leray transform and other Cauchy-Fantappiè integrals to relate holomorphic function theory to geometry. I am interested in the mapping properties of these operators (particularly in the presence of boundary singularities), along with the development of new operators with more refined properties.

CV (updated July 2024)


 207 kB


Showing entries 1 - 5 out of 8
Edholm LD, Chakrabarti D. Projections onto Lp-Bergman spaces of Reinhardt domains. Advances in Mathematics. 2024 Aug;451:109790. doi: 10.1016/j.aim.2024.109790

Edholm LD, Chakrabarti D, Bender C, Mainkar M. $L^p$ regularity of the Bergman projection on quotient domains. Canadian Journal of Mathematics. 2022 Jun;74(3):732-772. doi: 10.4153/S0008414X21000079

Edholm LD, McNeal JD. Sobolev Mapping of Some Holomorphic Projections. The Journal of Geometric Analysis. 2020 Apr;30(2):1293–1311. doi: 10.1007/s12220-019-00345-6

Edholm LD, McNeal JD, Chakrabarti D. Duality and approximation of Bergman spaces. Advances in Mathematics. 2019 Jan 7;341(7):616-656. doi: 10.1016/j.aim.2018.10.041

Showing entries 1 - 5 out of 8