[20190906 : Colloquium]Equivalences of (quasi-)norms in a certain vector-valued function


1. 일시 : 201996() 오후 430~ 530

2. 장소 : 아산이학관 526

3. 연사 : 박배준 박사 (고등과학원 수학부)

4. 제목 : Equivalences of (quasi-)norms in a certain vector-valued function

spaces and its applications to multilinear operators

5. 내용: ABSTRACT. In this talk we will study some (quasi-)norm equivalences, involving

Lp(lq) norm, in a certain vector-valued function space and extend the equivalences

to p = 1 and 0 < q < 1 in the scale of Triebel-Lizorkin spaces. As

an immediate consequence of our results, kfkBMO can be written as L1(l2)

norm of a variant of f. We will also discuss some applications to multilinear

Hrmander multiplier and multilinear pseudo-differential operator of type (1,1).