If YYE is YoYoExpert, then I don’t think you got permission yet. I also find it hard to believe you got permission from YYJ, since they are no longer in business.
If you want to put our logo (or any company logo) on something to sell, you would need to consult us (or that company), but if you just want to put our logo on your personal shoes, thats cool with us. Consider this your permission! ;D