In [HS] the Besov and Triebel-Lizorkin spaces on spaces of homogeneous type were introduced. In this paper, the Triebel-Lizorkin spaces on spaces of homogeneous type are generalized to the case where , and a new atomic decomposition for these spaces is obtained. As a consequence, we give the Littlewood-Paley characterization of Hardy spaces on spaces of homogeneous type which were introduced by the maximal function characterization in [MS2].
@article{bwmeta1.element.bwnjournal-article-smv108i3p247bwm, author = {Y.-S. Han}, title = {Triebel-Lizorkin spaces on spaces of homogeneous type}, journal = {Studia Mathematica}, volume = {108}, year = {1994}, pages = {247-273}, zbl = {0822.46033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv108i3p247bwm} }
Han, Y.-S. Triebel-Lizorkin spaces on spaces of homogeneous type. Studia Mathematica, Tome 108 (1994) pp. 247-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv108i3p247bwm/
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