Landau-type theorem for variable Lebesgue spaces

Lech Maligranda; Witold Wnuk

Commentationes Mathematicae (2015)

  • Volume: 55, Issue: 2
  • ISSN: 2080-1211

Abstract

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We describe, using elementary methods, the Köthe dual of variable Lebesgue spaces L p ( · ) , called also Nakano spaces, independenly for p ( · ) ( 1 , ) and p ( · ) ( 0 , 1 ) . The case when p ( · ) [ 1 , ] is also included.

How to cite

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Lech Maligranda, and Witold Wnuk. "Landau-type theorem for variable Lebesgue spaces." Commentationes Mathematicae 55.2 (2015): null. <http://eudml.org/doc/292493>.

@article{LechMaligranda2015,
abstract = {We describe, using elementary methods, the Köthe dual of variable Lebesgue spaces $L^\{p(\cdot )\},$ called also Nakano spaces, independenly for $p(\cdot ) \in (1, \infty )$ and $p(\cdot ) \in (0, 1)$. The case when $p(\cdot ) \in [1, \infty ]$ is also included.},
author = {Lech Maligranda, Witold Wnuk},
journal = {Commentationes Mathematicae},
keywords = {Köthe dual spaces, associate spaces, Nakano spaces, variable Lebesgue spaces},
language = {eng},
number = {2},
pages = {null},
title = {Landau-type theorem for variable Lebesgue spaces},
url = {http://eudml.org/doc/292493},
volume = {55},
year = {2015},
}

TY - JOUR
AU - Lech Maligranda
AU - Witold Wnuk
TI - Landau-type theorem for variable Lebesgue spaces
JO - Commentationes Mathematicae
PY - 2015
VL - 55
IS - 2
SP - null
AB - We describe, using elementary methods, the Köthe dual of variable Lebesgue spaces $L^{p(\cdot )},$ called also Nakano spaces, independenly for $p(\cdot ) \in (1, \infty )$ and $p(\cdot ) \in (0, 1)$. The case when $p(\cdot ) \in [1, \infty ]$ is also included.
LA - eng
KW - Köthe dual spaces, associate spaces, Nakano spaces, variable Lebesgue spaces
UR - http://eudml.org/doc/292493
ER -

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