The author takes an interdisciplinary look at the extent to which Art. 102 TFEU is suitable to protect competition from abusive behavior by dominant platforms. After an initial discussion of the fundamentals of the digital economy, in particular Big Data and multi-sided platforms, the relevant concepts developed by the EU Commission and EU courts in their decision-making practice on the interpretation of Art. 102 TFEU are examined in more detail in order to assess their suitability for the prohibition of abuse with regard to platform operators against the background of the particularities of multi-sided markets. The existence and delineation of a data market are also discussed.