Is it just empty space ?
Or,
Space is consisting of some mass-less particles ?
Space is not just "empty".
The idea of "empty" space was likely a reaction to the early debate involving The concept of the luminiferous ether and special relativity, where the ether included an absolute frame of reference associated with the ether and special relativity set aside that old notion. The debate and contention being largely around an absolute frame of reference vs no preferred frame of reference. Initially special relativity did not even really challenge the existence of "an ether". It just demonstrated that an ether was not required to explain experience.
It is not likely there are many physicists in the main stream who do not believe that space is not "empty". There is some speculation as to exactly what fills otherwise empty space. Perhaps the nail in that coffin came along since 1998 and the discovery of an acceleration in the expansion of the universe, from which followed the idea of dark energy. An energy that by its very nature fills the empty places in the universe, or what we have come to refer to as "empty space". What it is remains for now a mystery. Is it some kind of repulsive energy, a soup of virtual particles or some as yet unknown and undefined "other" substance. At this time anyone's guess is as good as another.
The irony here is that even as this debate unfolded in the early 1900s, Einstein had already played with the concept of a cosmological constant, which played a very similar role to dark energy today.., and was associated with "empty space".
BTW To the best of my understanding, Einstein never thought of space as stricktly speaking "empty", though I have seen no indication that he made any real suggestion just what there was in place of the "empty" void between objects. The fact that space and matter interact dynamically is one indication that at least as far as general relativity is concerned there must be some fundamental, if yet undefined, intrinsic substance associated with space.
If space is curved by the presence of matter and the dynamics of matter in the case of the frame-dragging effect, one cannot think of the intrinsic substance of space whether that is energy, virtual particles or some undefined other substance, as filling space. If general relativity is even just a good approximation of reality, space must be thought of as a thing, not just an empty set of dimensions.