Entropy function spaces and interpolation

Joan Cerdà; Heribert Coll; Joaquim Martín

Entropy function spaces and interpolation

Joan Cerdà, Heribert Coll, Joaquim Martín

Departament de Matemàtiques

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Resum

We associate to every function space, and to every entropy function E, a scale of spaces Λp,q (E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of several variants of Lorentz spaces and entropy spaces are given. © 2004 Elsevier Inc. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	269-295
Revista	Journal of Mathematical Analysis and Applications
Volum	304
Estat de la publicació	Publicada - 1 d’abr. 2005

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title = "Entropy function spaces and interpolation",

abstract = "We associate to every function space, and to every entropy function E, a scale of spaces Λp,q (E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of several variants of Lorentz spaces and entropy spaces are given. {\textcopyright} 2004 Elsevier Inc. All rights reserved.",

keywords = "Banach function space, Calder{\'o}n couple, Entropy, K-functional, Lorentz space, Marcinkiewicz space, Real interpolation",

author = "Joan Cerd{\`a} and Heribert Coll and Joaquim Mart{\'i}n",

year = "2005",

month = apr,

day = "1",

language = "English",

volume = "304",

pages = "269--295",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Entropy function spaces and interpolation

AU - Cerdà, Joan

AU - Coll, Heribert

AU - Martín, Joaquim

PY - 2005/4/1

Y1 - 2005/4/1

N2 - We associate to every function space, and to every entropy function E, a scale of spaces Λp,q (E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of several variants of Lorentz spaces and entropy spaces are given. © 2004 Elsevier Inc. All rights reserved.

AB - We associate to every function space, and to every entropy function E, a scale of spaces Λp,q (E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of several variants of Lorentz spaces and entropy spaces are given. © 2004 Elsevier Inc. All rights reserved.

KW - Banach function space

KW - Calderón couple

KW - Entropy

KW - K-functional

KW - Lorentz space

KW - Marcinkiewicz space

KW - Real interpolation

M3 - Article

SN - 0022-247X

VL - 304

SP - 269

EP - 295

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Entropy function spaces and interpolation

Resum

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