The query below shows which tablespaces a user has objects in, along with their total sizes:
SELECT
o.owner,
s.tablespace_name,
FLOOR(SUM(s.bytes) / (1024 * 1024)) AS size_mb
FROM
dba_objects o
JOIN
dba_segments s
ON o.object_name = s.segment_name
AND o.owner = s.owner
GROUP BY
o.owner,
s.tablespace_name
ORDER BY
owner;