Real interpolation for non-distant Marcinkiewicz spaces.

Evgeniy Pustylnik

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 1, page 127-143
  • ISSN: 1139-1138

Abstract

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We describe the real interpolation spaces between given Marcinkiewicz spaces that have fundamental functions of the form t1/q (ln (e/t)a with the same exponent q. The spaces thus obtained are used for the proof of optimal interpolation theorem from [7], concerning spaces L∞,a,E.

How to cite

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Pustylnik, Evgeniy. "Real interpolation for non-distant Marcinkiewicz spaces.." Revista Matemática Complutense 14.1 (2001): 127-143. <http://eudml.org/doc/44462>.

@article{Pustylnik2001,
abstract = {We describe the real interpolation spaces between given Marcinkiewicz spaces that have fundamental functions of the form t1/q (ln (e/t)a with the same exponent q. The spaces thus obtained are used for the proof of optimal interpolation theorem from [7], concerning spaces L∞,a,E.},
author = {Pustylnik, Evgeniy},
journal = {Revista Matemática Complutense},
keywords = {Espacios de Banach; Espacios de funciones; Interpolación; Operadores lineales; real interpolation; Marcinkiewicz spaces; Lorentz-Zygmund spaces; Boyd indices},
language = {eng},
number = {1},
pages = {127-143},
title = {Real interpolation for non-distant Marcinkiewicz spaces.},
url = {http://eudml.org/doc/44462},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Pustylnik, Evgeniy
TI - Real interpolation for non-distant Marcinkiewicz spaces.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 1
SP - 127
EP - 143
AB - We describe the real interpolation spaces between given Marcinkiewicz spaces that have fundamental functions of the form t1/q (ln (e/t)a with the same exponent q. The spaces thus obtained are used for the proof of optimal interpolation theorem from [7], concerning spaces L∞,a,E.
LA - eng
KW - Espacios de Banach; Espacios de funciones; Interpolación; Operadores lineales; real interpolation; Marcinkiewicz spaces; Lorentz-Zygmund spaces; Boyd indices
UR - http://eudml.org/doc/44462
ER -

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