We introduce function spaces with Morrey-Campanato norms, which unify , and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator on these spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-17,
author = {Katsuo Matsuoka and Eiichi Nakai},
title = {Fractional integral operators on $B^{p,$\lambda$}$ with Morrey-Campanato norms},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {249-264},
zbl = {1231.42021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-17}
}
Katsuo Matsuoka; Eiichi Nakai. Fractional integral operators on $B^{p,λ}$ with Morrey-Campanato norms. Banach Center Publications, Tome 95 (2011) pp. 249-264. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-17/