Weak L∞ and BMO in Metric Spaces
Aalto, Daniel
Bollettino dell'Unione Matematica Italiana, Tome 5 (2012), p. 369-385 / Harvested from Biblioteca Digitale Italiana di Matematica
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Bennett, DeVore and Sharpley introduced the space weak L∞ in 1981 and studied its relationship with functions of bounded mean oscillation. Here we characterize the weak L∞ in measure spaces without using the decreasing rearrangement of a function. Instead, we use exponential estimates for the distribution function. In addition, we consider a localized version of the characterization that leads to a new characterization of BMO.

Publié le : 2012-06-01
@article{BUMI_2012_9_5_2_369_0,
     author = {Daniel Aalto},
     title = {Weak $L^\infty$ and BMO in Metric Spaces},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {5},
     year = {2012},
     pages = {369-385},
     zbl = {1256.46013},
     mrnumber = {2977254},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2012_9_5_2_369_0}
}

Aalto, Daniel. Weak $L^\infty$ and BMO in Metric Spaces. Bollettino dell'Unione Matematica Italiana, Tome 5 (2012) pp. 369-385. http://gdmltest.u-ga.fr/item/BUMI_2012_9_5_2_369_0/

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