If you mean SQL Server 2005 or higher, use sys.objects instead of sysobjects:
SELECT sys.objects.name, sys.schemas.name AS schema_name
FROM sys.objects
INNER JOIN sys.schemas ON sys.objects.schema_id = sys.schemas.schema_id
2005 introduced schemas. up to 2000, users equaled schemas. The same query for SQL Server 2000:
SELECT sysusers.name AS OwnerName, sysobjects.name
FROM sysobjects
INNER JOIN sysusers ON sysobjects.uid = sysusers.uid