The (IR) property—rigidity of independent functions against low-dimensional approximation—is established for broad classes of symmetric spaces (Lorentz L_{p,q} with 1<p<2, 1≤q≤2; Orlicz L_{log^α L} with α≥1/2) and shown to fail when the fundamental function grows faster than √t or when ℓ_q (q>2) isl
Inequalities for ther-th absolute moment of a sum of random variables, 1⩽r⩽2
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Rigidity of sets of independent functions in symmetric spaces
The (IR) property—rigidity of independent functions against low-dimensional approximation—is established for broad classes of symmetric spaces (Lorentz L_{p,q} with 1<p<2, 1≤q≤2; Orlicz L_{log^α L} with α≥1/2) and shown to fail when the fundamental function grows faster than √t or when ℓ_q (q>2) isl