TY - JOUR
T1 - <em>L^p</em>-regularity for a Class of Pseudodifferential Operators in <em>R^n</em>
AU - A. Morando 
JO - Journal of Partial Differential Equations
VL - 3
SP - 241
EP - 262
PY - 2005
DA - 2005/08
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5360.html
KW - Pseudo-differential operators
KW - L^p boundedness
KW - global hypoellipticity
AB - <p>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.</p>