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/