Norm-controlled inversion in Banach algebras of integral operators

초록

In the paper, we introduce a new class of Banach algebras IBr,u,alpha,beta of Beurling type, which contain integral operators whose kernels have polynomial off-diagonal decay, on the Ahlfors regular homogeneous space (X, rho, mu), and show the inverse-closedness on the algebra, B(L-w(p)), of all bounded linear operators on the weighted space L-w(p)(X) for any 1 <= p <= infinity and any Muckenhoupt A(p)-weights w. Moreover, a norm-controlled inversion of IBr,u,alpha,beta in B(L-2) is given.

키워드