Amazon Wants Court to Dismiss "App Store" Claim Inc has asked a federal judge to throw out Apple Inc's false advertising claim in a lawsuit challenging the online retailer's use of the "app store" name. The claim is part of a March 2011 trademark lawsuit in which Apple, which this year became the world's largest company ever by market value, accused Amazon of misusing its "App Store" name to solicit developers for a mobile software download service.