17 citations · 24 across the 9 of their papers we have counts for
13 papers
Uncertainty principles and differential operators on the weighted {B}ergman space
Jens Gerlach Christensen, Christopher Benjamin Deng
We classify self-adjoint first-order differential operators on weighted Bergman spaces on the unit disc and answer questions related to uncertainty principles for such operators. O…
New atomic decompositions of Bergman spaces on bounded symmetric domains
Jens Gerlach Christensen, Gestur Olafsson
We provide a large family of atoms for Bergman spaces on irreducible bounded symmetric domains. This vastly generalizes results by Coifman and Rochberg from 1980. The atomic decomp…
Atomic decompositions of mixed norm Bergman spaces on tube type domains
Jens Gerlach Christensen
We use the author's previous work on atomic decompositions of Besov spaces with spectrum on symmetric cones, to derive new atomic decompositions for Bergman spaces on tube type dom…
Surjectivity of Mean Value Operators on Noncompact Symmetric Spaces
Jens Christensen, Fulton Gonzalez, Tomoyuki Kakehi
Let be a symmetric space of the non-compact type. We prove that the mean value operator over translated -orbits of a fixed point is surjective on the space of smooth fun…
New atomic decompositons for Bergman spaces on the unit ball
Jens Christensen, Karlheinz Gröchenig, Gestur Ólafsson
We derive atomic decompositions and frames for weighted Bergman spaces of several complex variables on the unit ball in the spirit of Coifman, Rochberg, and Luecking. In contrast t…
Atomic decompositions of Besov spaces related to symmetric cones
Jens Gerlach Christensen
In this paper we extend the atomic decompositions previously obtained for Besov spaces related to the forward light cone to general symmetric cones. We do so via wavelet theory ada…