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math.AP2021
Estimates for the covariant derivative of the heat semigroup on differential forms, and covariant Riesz transforms
Robert Baumgarth, Baptiste Devyver, Batu Güneysu
With is the uniquely determined self-adjoint realization of the Laplace operator acting on -forms on a geodesically complete Riemannian manifold and …
math.AP2021
Gradient Estimate for the Heat Kernel on Some Fractal-Like Cable Systems and Quasi-Riesz Transforms
Baptiste Devyver, Emmanuel Russ, Meng Yang
We give pointwise upper estimate for the gradient of the heat kernel on some fractal-like cable systems including the Vicsek and the Sierpiński cable systems. Applications to …