NEW YORK — Dorothy Lichtenstein, widow of Roy Lichtenstein, and Adam D. Weinberg, Alice Pratt Brown Director of the Whitney Museum of American Art, have announced that the Lichtenstein family has promised to donate the late artist’s studio building to the museum. The Whitney, which since moving downtown in 2015 has been a neighbor of the studio, operating four blocks north on Gansevoort Street, will adapt the space to serve as the first permanent home of its widely influential Independent Study Program, which was founded in 1968.