*Eurozone Dec Core Inflation 3.4% Vs. 3.6% In Nov, Flash 3.4%

*Eurozone Dec Inflation 2.9% Vs. 2.4% In Nov, Flash 2.9%

*Eurozone Dec Final HICP Rises 0.2% On Month

Oil Prices Fall On China Demand Concerns

*UK Nov House Prices Fall 2.1% On Year Vs. -1.3% In October