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We 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… Click to show full abstract
We 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.
Keywords:
riemannian manifolds;
unbounded riesz;
riesz transform;
new riemannian;
manifolds unbounded
Journal Title: Mathematische Zeitschrift
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematische Zeitschrift
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!