Dmytro's answer works fine for my case. I think it's better to declare the function as synchronized. at least for my case, it would invoke null pointer exception otherwise, e.g. getWritableDatabase not yet returned in one thread and openDatabse called in another thread meantime.
public synchronized SQLiteDatabase openDatabase() {
if(mOpenCounter.incrementAndGet() == 1) {
// Opening new database
mDatabase = mDatabaseHelper.getWritableDatabase();
}
return mDatabase;
}