The Fourier transform of order statistics with applications to Lorentz spaces

DOI10.1007/BF02762092zbMath0880.46022arXivmath/9311208OpenAlexW2963238946MaRDI QIDQ1905796

Stephen Dilworth, Alexander L. Koldobsky

Publication date: 13 February 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9311208

zbMATH Keywords

order statisticsFourier transformsLorentz function space

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sequence spaces (including Köthe sequence spaces) (46A45)

Related Items (1)

Lattice-embedding scales of \(L^p\) spaces into Orlicz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Positive definite norm dependent functions on \(\ell ^{\infty}\)
• Generalized Levy representation of norms and isometric embeddings into \(L_ p\)-spaces
• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• On the isometries of the Lorentz function spaces
• Characterization of measures by potentials
• Classical Banach spaces
• Some new functional spaces
• Subspaces of L p, q
• Some Banach space embeddings of classical function spaces
• Isometries on L p,1
• Lorentz Spaces that are Isomorphic to Subspaces of L 1
• On the geometry of the unit spheres of the Lorentz spaces L_w,1
• A Class of Convex Bodies
• Metric Spaces and Positive Definite Functions

This page was built for publication: The Fourier transform of order statistics with applications to Lorentz spaces