Hi,
I think if you want access the blob REST API via Browser, please refer to this article:
http://msdn.microsoft.com/en-us/library/windowsazure/dd135733.aspx
Select specific handle of Blob, for example list containers of blob storage:
http://msdn.microsoft.com/en-us/library/windowsazure/dd179352.aspx
following the format of this API and fill it with your info (if required), the blob container must be public and method must be "GET" if you want to view it in Browser. For "POST" , "Put", "Delete" methods, please consider to call them by code, here
is a tutorial:
https://www.windowsazure.com/en-us/develop/net/how-to-guides/blob-storage/
Hope this helps.
BR,
Arwind
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