Strong maximum principle for non-linear parabolic differential-functional inequalities in arbitrary domains
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In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator...
J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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P. Besala (1975)
Annales Polonici Mathematici
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