Resumen de Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions

Oscar F. Bandtlow, Oliver Jenkinson

• We consider transfer operators acting on spaces of holomorphic functions, and provide explicit bounds for their eigenvalues. More precisely, if O is any open set in , and is a suitable transfer operator acting on Bergman space A2(O), its eigenvalue sequence is bounded by , where a,A>0 are explicitly given