A CLASS OF GENERALIZED INTEGRAL OPERATORS

作者：Bekkara Samir^*; Messirdi Bekkai; Senoussaoui Abderrahmane

来源：Electronic Journal of Differential Equations, 2009, 88.

• Integral operators
• L(2)-boundedness
• unbounded Fourier integral operators

In this paper, we introduce a class of generalized integral operators that includes Fourier integral operators. We establish some conditions on these operators such that they do not have bounded extension on L(2)(R(n)). This permit us in particular to construct a class of Fourier integral operators with bounded symbols in S(1,1)(0)(R(n) x R(n)) and in boolean AND(0<rho<1) S(rho,1)(0)(R(n) x R(n)) which cannot be extended to bounded operators in L(2)(R(n)).

• 出版日期2009-7-27