Abstract
We give some optimal regularity results in interpolation spaces for operators of the type A 2 + B 2, where A and B are noncommuting generators of semigroups in a Banach space. Our main examples are the Heisenberg Laplacian and the Grushin operator, for which we prove regularity results in suitable Hölder and fractional Sobolev spaces.
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© 1999 Springer Basel AG
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Lunardi, A. (1999). Regularity for a Class of Sums of Noncommuting Operators. In: Escher, J., Simonett, G. (eds) Topics in Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, vol 35. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8765-6_21
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DOI: https://doi.org/10.1007/978-3-0348-8765-6_21
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9764-8
Online ISBN: 978-3-0348-8765-6
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