Generalized Gaussian estimates and the Legendre transform

By Sönke Blunck, P. Kunstmann. 2005

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View Paper: https://www.semanticscholar.org/paper/56b472ac9d60b9db297fc6221657213bce432834

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Citations in the corpus

A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces (2013, background): “Note that the above estimates are on-diagonal versions of the generalised Gaussian estimates introduced by Blunck and Kunstmann (see for instance [9]).”
Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates (2013, background): “2], it follows that the notion of the reinforced (pL, qL, m) off-diagonal estimates on balls is the same as the reinforced (pL, qL) off-diagonal estimates introduced in [12] (see [11, 27, 32] and their references for the history of the off-diagonal estimates).”
Riesz Transforms of Schrödinger Operators on Manifolds (2012, unknown): “For this, we need the following lemma (see [10] Lemma 3.”
Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem (2006, unknown): “…(cid:7) T ∗ T (cid:7) p → p (cid:2) = (cid:7) T 2 p → 2 and the contractivity of exp( − isL ), s ∈ R , on L 2 ( M, dμ ), one obtains (b) In [ 9 – 13 ], Blunck and Kunstmann developed spectral multiplier theorems for operators which generate semigroups without heat kernel acting on spaces…”
Weak type (p,p) estimates for Riesz transforms (2004, background): “This can be seen from the following characterization which is [ BK3 , Prop.”
Weighted norm inequalities, off-diagonal estimates and elliptic operators Part II: Off-diagonal estimates on spaces of homogeneous type (2006, unknown): “Acknowledgement. We warmly thank the referee for his criticisms, his suggestions to clarify some points and for pointing out the relevance of the reference [ BK4 ].”