We study here a class of pseudodifferential operators with weighted symbols of Shubin type. First, we develop the basic elements of the pseudodifferential calculus for these operators, proving in particular a result of L^p -boundedness. Then we derive regularity results in the frame of suitably defined functional spaces of Sobolev type.
L^p-regularity for a class of pseudodifferential operators in R^n
MORANDO, Alessandro
2005-01-01
Abstract
We study here a class of pseudodifferential operators with weighted symbols of Shubin type. First, we develop the basic elements of the pseudodifferential calculus for these operators, proving in particular a result of L^p -boundedness. Then we derive regularity results in the frame of suitably defined functional spaces of Sobolev type.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
