New function spaces of Morrey-Campanato type on spaces of homogeneous type
Tang, Lin
Illinois J. Math., Tome 51 (2007) no. 3, p. 625-644 / Harvested from Project Euclid
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In the context of spaces of homogeneous type, we introduce and develop some new function spaces of Morrey-Campanato type. The new function spaces are defined by variants of maximal functions associated with generalized approximations to the identity, and they generalize the classical Morrey-Campanato spaces. We show that the John-Nirenberg inequality holds on these spaces. We also establish the endpoint boundedness of fractional integrals.
Publié le : 2007-04-15
Classification:  42B25,  42B35,  46E30 
@article{1258138435,
     author = {Tang, Lin},
     title = {New function spaces of Morrey-Campanato type on spaces of homogeneous type},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 625-644},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138435}
}

Tang, Lin. New function spaces of Morrey-Campanato type on spaces of homogeneous type. Illinois J. Math., Tome 51 (2007) no. 3, pp.  625-644. http://gdmltest.u-ga.fr/item/1258138435/