I have a website with only home page available through simple HTTP protocol. All other pages are accessible only through HTTP over SSL(https://).
I'm using CDN for home page and very happy with it.
But for me it looks like using CDN for https pages is impossible because of security warnings, especially in IE. My files hosted at CDN are accessible though simple HTTP protocol.
What should I do? How this problem can be solved?
You need to get a CDN that supports serving files over HTTPS, then use that CDN for the SSL requests.