69 citations · 257 across the 37 of their papers we have counts for
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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.