A Characterization of Potential Spaces

Jose R. Dorronsoro
1985 Proceedings of the American Mathematical Society  
A mean oscillation characterization, valid for all a > 0, of the spaces ¿o of Bessel potentials of Lp functions is given and is used to relate the known characterizations for 0 < a < 2 via Marcinkiewicz integrals, due to E. M. Stein, and via vector-valued means of differences, due to R. S. Strichartz.
doi:10.2307/2045567 fatcat:f37eclnoojdxngx6agus335e6y