Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator / Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator

J. Martín; J. Soria

Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator / Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator

Translated title of the contribution: Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator

J. Martín, J. Soria

Department of Mathematics

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3 Citations (Scopus)

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Abstract

We characterize the rearrangement invariant spaces for which there exists a non-constant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces Lp(Rn) was first considered in [7]). The main result that we prove is that the space Ln/(n-2),∞(R n) ∩ L∞(Rn) is minimal among those having this property.

Translated title of the contribution	Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator
Original language	Multiple languages
Pages (from-to)	39-46
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	31
Publication status	Published - 1 Jan 2006

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title = "Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator / Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator",

abstract = "We characterize the rearrangement invariant spaces for which there exists a non-constant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces Lp(Rn) was first considered in [7]). The main result that we prove is that the space Ln/(n-2),∞(R n) ∩ L∞(Rn) is minimal among those having this property.",

author = "J. Mart{\'i}n and J. Soria",

year = "2006",

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language = "M{\'u}ltiples idiomas",

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Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator / Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator. / Martín, J.; Soria, J.
In: Annales Academiae Scientiarum Fennicae Mathematica, Vol. 31, 01.01.2006, p. 39-46.

Research output: Contribution to journal › Article › Research

TY - JOUR

T1 - Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator / Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator

AU - Martín, J.

AU - Soria, J.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - We characterize the rearrangement invariant spaces for which there exists a non-constant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces Lp(Rn) was first considered in [7]). The main result that we prove is that the space Ln/(n-2),∞(R n) ∩ L∞(Rn) is minimal among those having this property.

AB - We characterize the rearrangement invariant spaces for which there exists a non-constant fixed point, for the Hardy-Littlewood maximal operator (the case for the spaces Lp(Rn) was first considered in [7]). The main result that we prove is that the space Ln/(n-2),∞(R n) ∩ L∞(Rn) is minimal among those having this property.

M3 - Artículo

SN - 1239-629X

VL - 31

SP - 39

EP - 46

JO - Annales Academiae Scientiarum Fennicae Mathematica

JF - Annales Academiae Scientiarum Fennicae Mathematica

ER -

Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator / Characterization of rearrangement invariant spaces eith fixed points for the Hardy-Littlewood maximal operator

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