esjobserver.exe is the program name of the Easysoft JDBC-ODBC Bridge Server for Windows.
The JDBC-ODBC Bridge Client uses the JDBC-ODBC Bridge Server to connect to an ODBC driver. The JDBC-ODBC Bridge Server is installed on the same machine as the ODBC driver. The JDBC-ODBC Bridge Server (esjobserver.exe) needs to be running to allow the JDBC-ODBC Bridge Client to connect to the target Windows ODBC driver.