We derive conditions, which are both necessary and sufficient, for the boundedness of (power-logarithmic) fractional maximal operators between classical and weak-type Lorentz spaces.
@book{bwmeta1.element.bwnjournal-rm-doi-10_4064-dm410-0-1, author = {David E. Edmunds and Bohum\'\i r Opic}, title = {Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces}, series = {GDML\_Books}, year = {2002}, zbl = {1019.42012}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm410-0-1} }
David E. Edmunds; Bohumír Opic. Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces. GDML_Books (2002), http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm410-0-1/