Thermodynamics of Schwarzschild-(anti-)de Sitter black holes with account of quantum corrections

We discuss the quantum corrections to thermodynamics (and geometry) of S(A) dS BH's using large N one-loop anomaly induced effective action for dilaton coupled matter (scalars and spinors). It is found that the temperature, ma ss and entropy with account of quantum effects for multiply horizon SdS BH and SAdS BH which also gives the corresponding expressions for their limits : Schwarzschild and de Sitter spaces. In the last case one can talk about q uantum correction to the entropy of an expanding universe. The anomaly induced action under discussion corresponds to 4d formulation ( s-wave approximation, 4d quantum matter is a minimal one) its well as 2d fo rmulation (complete effective action, 2d quantum matter is a dilaton couple d one). Hence, most of the results are given for the same gravitational bac kground with interpretation as 4d quantum corrected BH or 2d quantum correc ted dilatonic BH. Quantum aspects of thermodynamics of 4d 't Hooft BH model are also considered.