The only problem was the configuration on the Tomcat side. Since Tomcat does not use simple java.util.logging, the configuration is slightly different. Therefore, adding some lines to conf / logging.properties helped:
... handlers = 1catalina.org.apache.juli.AsyncFileHandler, 2localhost.org.apache.juli.AsyncFileHandler, 3manager.org.apache.juli.AsyncFileHandler, 4host-manager.org.apache.juli.AsyncFileHandler, 5reportExport.org.apache.juli.AsyncFileHandler, java.util.logging.ConsoleHandler .handlers = 1catalina.org.apache.juli.AsyncFileHandler, java.util.logging.ConsoleHandler
So, I added the aditional handler "5reportExport.org.apache.juli.AsyncFileHandler" to get the material in a separate file. Then I configured this handler, like the others. The most important part at the end:
com.prodyna.reportExport.level = FINE com.prodyna.reportExport.handlers = 5reportExport.org.apache.juli.AsyncFileHandler
This uses a configured handler for all classes in the com.prodyna.reportExport package.
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