Some remarks on Blaschke type products in large area Nevanlinna spaces in the unit disk

The intention of this paper is to introduce and study certain new analytic spaces in the disk and to show that certain Blaschke type products belong to new large Nevanlinna type classes in the unit disk. We also provide parametric representation of such classes. These results extend and complement some previously known assertions of this type obtained earlier by other authors. Our arguments are based on certain new embeddings which relate the well-known $S^p_\alpha$ area Nevanlinna spaces in the unit disk with our new large area Nevanlinna type spaces in the unit disk.