Embedding functions and their role in interpolation theory
Pustylnik, Evgeniy
Abstr. Appl. Anal., Tome 1 (1996) no. 1, p. 305-325 / Harvested from Project Euclid
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The embedding functions of an intermediate space $A$ into a Banach couple $(A_0,A_1)$ are defined as its embedding constants into the couples $(\frac{1}{\alpha}A_0,\frac{1}{\beta}A_1)$ , $\forall\alpha,\beta > 0$ . Using these functions, we study properties and interrelations of different intermediate spaces, give a new description of all real interpolation spaces, and generalize the concept of weak-type interpolation to any Banach couple to obtain new interpolation theorems.
Publié le : 1996-05-14
Classification:  Embedding,  interpolation,  $K$-space,  operator of weak type,  46B70 
@article{1049726054,
     author = {Pustylnik, Evgeniy},
     title = {Embedding functions and their role in interpolation theory},
     journal = {Abstr. Appl. Anal.},
     volume = {1},
     number = {1},
     year = {1996},
     pages = { 305-325},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049726054}
}

Pustylnik, Evgeniy. Embedding functions and their role in interpolation theory. Abstr. Appl. Anal., Tome 1 (1996) no. 1, pp.  305-325. http://gdmltest.u-ga.fr/item/1049726054/