Factorization of the identity operator in classical Banach spaces: recent results
Sprache des Vortragstitels:
Workshop in Analysis and Probability Seminar, Texas A&M University, College Station, August 6-27, 2017
Sprache des Tagungstitel:
We discuss several recent results on factors of the identity operator in mixed norm Hardy spaces, bi-parameter BMO and $SL^\infty$. As a consequence of these factorization results, we obtain that those spaces are primary. The methods used are either infinite dimensional, or finite dimensional quantitative methods, centered around the geometry and the combinatorics of colored dyadic intervals and rectangles.