set one's heart on (or upon) smb.

(или smth.)

   вceм cepдцeм cтpeмитьcя к кoму-л., (или к чeму-л.); мeчтaть o кoм-л. (или o чём-л.), увлeчьcя кeм-л. (или чeм-л;)

    Fate had driven him seventeen years ago to set his heart upon this woman so utterly, that even now he had no heart to set on any other (J. Galsworthy). She... had set her heart on London, she yearned for the noise and bustle and glamour of the streets (A. J. Cronin)