17 citations · 32 across the 3 of their papers we have counts for
3 papers
math.CA2018★ 7 cited
Analysis in the multi-dimensional ball
Peter Sjögren, Tomasz Z. Szarek
We study the heat semigroup maximal operator associated with a well-known orthonormal system in the d-dimensional ball. The corresponding heat kernel is shown to satisfy Gaussian b…
math.CA2018★ 17 cited
Sharp estimates of the spherical heat kernel
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
We prove sharp two-sided global estimates for the heat kernel associated with a Euclidean sphere of arbitrary dimension. This solves a long-standing open problem.
math.AP2009★ 8 cited
On the boundary convergence of solutions to the Hermite-Schrödinger equation
Peter Sjögren, J. L. Torrea
In the half-space , we consider the Hermite-Schrödinger equation , with given boundary values on $\mathbb…