Some Banach space embeddings of classical function spaces

DOI10.1017/S0004972700028781zbMath0714.46026MaRDI QIDQ3200053

Stephen Dilworth, Neal L. Carothers

Publication date: 1991

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lorentz spaceOrlicz spaceLebesgue-Bochner spaceBanach space embeddingsinequalities for sums of independent random variables

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (5)

\(L_p + L_q\) and \(L_p \cap L_q\) are not isomorphic for all \(1 \leq p\), \(q\leq \infty\), \(p\neq q\) ⋮ The Fourier transform of order statistics with applications to Lorentz spaces ⋮ On lattice properties of the Lorentz spaces \(L_{p,q}\) ⋮ Strongly amenable semigroups and nonlinear fixed point properties ⋮ Perturbation classes of semi-Fredholm operators in Banach lattices

Cites Work

• Unnamed Item
• Sums of independent random variables in rearrangement invariant function spaces
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Subspaces of L p, q
• Espaces l p Dans Les Sous-Espaces de L 1
• Lorentz Spaces that are Isomorphic to Subspaces of L 1
• Inequalities for Sums of Independent Random Variables

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