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There is no one-to-one relationship between a TimeSlot and an Owner; there is, however, a one-to-one between a TimeSlotUIElement and an Owner; you can use the GetContext method off TimeSlotUIElement to get a reference to the associated Owner.

I didn't have the time to write code that does exactly what you requested in you previous posts, but hopefully this code sample contains enough information to get you started (see below). It iterates the entire TimeSlots collection and lists the status of each one, returning the ActiveOwner when it has no activity, then searching through the other owners to see if that slot is empty for them.

private void ListEmptyTimeSlots( UltraDayView dayView )
{
if ( dayView == null )
throw new ArgumentNullException();

    UltraCalendarInfo calendarInfo = dayView.CalendarInfo;
    if ( calendarInfo == null )
        throw new ArgumentNullException();

    // First get a list of the visible owners, making sure the specified
    // owner is the first one in the list.
    VisibleOwnersCollection visibleOwners = calendarInfo.VisibleOwners;
    List<Owner> owners = new List<Owner>(visibleOwners.Count);

    Owner owner = dayView.ActiveOwner;

    if ( owner != null )
        owners.Add( owner );

    for ( int i = 0; i < visibleOwners.Count; i ++ )
    {
        if ( visibleOwners == owner )
            continue;

owners.Add( visibleOwners );
}

    TimeSlotsCollection timeSlots = dayView.TimeSlots;
    int timeSlotCount = timeSlots.Count;
    for ( int i = 0; i < timeSlotCount; i ++ )
    {
        TimeSlot ts = this.GetEmptyTimeSlot( DateTime.Today, i, owners, ref owner );
        string empty = ts == null ? "full" : "empty";
        System.Diagnostics.Debug.WriteLine( string.Format("TimeSlot[{0}] for Owner[{1}] is {2}", i, owner.Key, empty) );
    }
}

private TimeSlot GetEmptyTimeSlot( DateTime date, int timeSlotIndex, List<Owner> visibleOwners, ref Owner owner )
{
UltraCalendarInfo calendarInfo = this.dayView.CalendarInfo;

// Get the time slot duration
TimeSpan timeSlotDuration = TimeSpan.FromMinutes( (int)(this.dayView.TimeSlotInterval) );

TimeSlot timeSlot = this.dayView.TimeSlots[timeSlotIndex];

    // Get the range of time that reflects the time spanned by the TimeSlot in question
    DateTime rangeStart = date.Date.Add( timeSlot.StartTime.TimeOfDay );
    DateTime rangeEnd = rangeStart.Add( timeSlotDuration.Subtract( TimeSpan.FromSeconds(1) ) );

    for ( int currentOwner = 0; currentOwner < visibleOwners.Count; currentOwner ++ )
    {
        Owner thisOwner = visibleOwners[currentOwner];

AppointmentsSubsetCollection appointments = calendarInfo.GetAppointmentsInRange( rangeStart, rangeEnd, thisOwner );
bool hasAppointments = appointments.Count > 0;

        if ( hasAppointments )
            continue;
        else
        {
            owner = thisOwner;
            return timeSlot;
        }
    }

return null;

}