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The commutant of the Volterra operator

✍ Scribed by J. A. Erdos

Publisher: SP Birkhäuser Verlag Basel
Year: 1982
Tongue: English
Weight: 121 KB
Volume: 5
Category: Article
ISSN: 0378-620X
DOI: 10.1007/bf01694033

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## Abstract Let __L__ = ‐ __d__^2^/__dx__^2^ be the Laplace operator in __L^p^__(R), 1<__p__ < ∞. It is shown that a bounded operator __T__ in __L^p^__(R) commutes with __L__, in the sense that the domain __D__ of __L__ is __T__‐invariant and __TLf__ = __LTf__ for each __f__ in __D__, if and only i

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