Since my smartphone really liked and I went from a one-time mistake, I asked the vendor to an exchange.
Unfortunately, the new smartphone had exactly the same problem. Transmissions over wireless worked again sporadically. The apps have been downloaded from the Play Store, and other sources.
I've downloaded a trial basis a larger app with my PC and copied via USB connection to your smartphone. This app could be installed immediately.
Then I downloaded the same file multiple times with a smartphone via Wi-Fi (not from PlayStore). These files could not be installed.
Then I transfer the files via a USB connection to my PC and compared.
And I realized that the files that have been downloaded from the Smartphone via WLAN were flawed. There were, for working stock (approximately 15 MB) 30-85 bytes differently. This can not be real, because the transmitted data would have to be checked by the hardware / software of the device for consistency before they are stored.
Another call to the hotline Motorola also proceeded without results. The hotline staff would not hear of my findings regarding the file transfer.
Unfortunately, I am very disappointed with the Motorola RAZR HDs and have returned it and bought myself now a Sony Xperia Z. Also Sony is working, like all my other devices, easily in my and other WLANs.