Differentiable $L^{p}$-functional calculus for certain sums of non-commuting operators

• Autorzy: Michael Gnewuch
• Języki publikacji: EN

Abstrakty

EN

We consider a special class of sums of non-commuting positive operators on L²-spaces and derive a formula for their holomorphic semigroups. The formula enables us to give sufficient conditions for these operators to admit differentiable $L^{p}$-functional calculus for 1 ≤ p ≤ ∞. Our results are in particular applicable to certain sub-Laplacians, Schrödinger operators and sums of even powers of vector fields on solvable Lie groups with exponential volume growth.

Kategorie tematyczne

• 22E25: Nilpotent and solvable Lie groups
• 47A60: Functional calculus
• 22E30: Analysis on real and complex Lie groups
• 47B25: Symmetric and selfadjoint operators (unbounded)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 1
• Strony: 105-125

Daty

wydano

2006

Twórcy

autor

Michael Gnewuch

• Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, D-04103 Leipzig, Germany

Identyfikatory

DOI

10.4064/cm105-1-10