LAUSR

Symmetric finite representability of $$\ell ^p$$-spaces in rearrangement invariant spaces on $$(0,\infty )$$

Sign Up to like & get
recommendations!
0 Published in 2021 at "Mathematische Annalen"

DOI: 10.1007/s00208-021-02277-5

Abstract: Abstract. For a separable rearrangement invariant space X on (0,∞) of fundamental type we identify the set of all p ∈ [1,∞] such that l is finitely represented in X in such a way that… read more here.

Keywords: representability ell; finite representability; rearrangement invariant; ell spaces ... See more keywords

Local rearrangement invariant spaces and distribution of Rademacher series

Sign Up to like & get
recommendations!
0 Published in 2018 at "Positivity"

DOI: 10.1007/s11117-017-0500-2

Abstract: We prove that a local version of Khintchine inequality holds for arbitrary rearrangement invariant (r.i.) spaces on an non-empty open set $$E\subset [0,1]$$E⊂[0,1]. For this, we give a definition of local r.i. space which is… read more here.

Keywords: rademacher; rearrangement invariant; invariant spaces; distribution ... See more keywords