Brentwood, in part;
When the Association penalized petitioner Brentwood Academy for violating a recruiting rule, Brentwood sued the Association and its executive director under 42 U. S. C. §1983, claiming that the rule's enforcement was state action that violated the
First and Fourteenth Amendments. The District Court granted Brentwood summary judgment, enjoining the rule's enforcement, but the Sixth Circuit found no state action and reversed.
Held: The Association's regulatory activity is state action owing to the pervasive entwinement of state school officials in the Association's structure, there being no offsetting reason to see the Association's acts in any other way. Pp. 5-17.
Gateway was a freedom of speech issue, Ist AM, where people wanted to protest, etc., on private property, of the Indians. The court had to decide whether the sidewalk, although privately owned was a "Public Forum"
I do not know if you are familiar with the Pruneyard/Robbins case, but the issues are "similar". Ohio does not permit what CA did in Pruneyard, however, those are state constitution issues.
Eastwood Mall, Inc. v. Slanco - Ohio Supreme Court Opinion - Ohio Supreme Court Decision - OH Case Law