Abstract
AbstractWe construct a large class of Riemannian manifolds of arbitrary dimension with Riesz transform unbounded on $$L^p(M)$$
L
p
(
M
)
for all $$p > 2$$
p
>
2
. This extends recent results for Vicsek manifolds, and in particular shows that fractal structure is not necessary for this property.
Funder
Rheinische Friedrich-Wilhelms-Universität Bonn
Publisher
Springer Science and Business Media LLC
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