See attached test case.

import java.util.function.Function;

public class LambdaSelfRef {

    // COMPILATION FAILURE
    public static Function<Object, Object> op1 = e -> op1.apply(e);

    // COMPILES OK
    public static Function<Object, Object> op2 = e -> LambdaSelfRef.op2.apply(e);

    // COMPILES OK
    public static Function<Object, Object> op3 = new Function<Object, Object>() {
            public Object apply(Object o) {
                return op3.apply(o);
            }
        };

    // COMPILES OK
    public static Function<Object, Object> op4 = new Function<Object, Object>() {
            public Object apply(Object o) {
                return LambdaSelfRef.op4.apply(o);
            }
        };
}

The weird thing is that accessing the static field via class works perfectly. Seems to be constrained to lambdas, anonymous classes permit the behavior we are after.