As I know, for the most of industrial application we need a membrane that can resist high temperature. Obviously, polymeric membranes are not a good choice. So, ceramic membranes or inorganic membranes are used.
However, it is not so easy to prepare inorganic membranes or control the membranes properties. Therefor it can be said that this is one of the reasons why the membranes application is limited in industries.
You may want to check the related membrane technology literature, e.g., Anil K. Pabby, Syed S. H. Rizvi, Ana Maria Sastre Requena (Eds.), "Handbook of Membrane Separations: Chemical, Pharmaceutical, Food, and Biotechnological Applications", 2nd ed., CRC Press ─ Taylor & Francis Group, 2015.
polymeric membrane have some advantages like: easy to fabricate, flexibility, cheaper than other membrane. but there are some disadvantages like low selectivity, low thermal and mechanical resistance that cause some limitation for industrial usage. to overcome these disadvantages, mixed matrix membrane are used. mixed matrix membrane contain inorganic particle such as zeolite, seramic, MOF as a filler that distribute on the polymer phase to modify the selectivity and mechanical and thermal strength.