Chunping Xie
Abstract
By using the boundedness of the maximal and sharp operators on Morrey spaces, we have proved that the commutators \\([M_p,b]\\) and \\([M^{\\#},b]\\) are bounded on Morrey spaces \\(L^{q,\\lambda}\\) if and only if \\(b\\) is in BMO and the negative part of \\(b\\) is in \\(L^{\\infty}\\).
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By using the boundedness of the maximal and sharp operators on Morrey spaces, we have proved that the commutators \\([M_p,b]\\) and \\([M^{\\#},b]\\) are bounded on Morrey spaces \\(L^{q,\\lambda}\\) if and only if \\(b\\) is in BMO and the negative part of \\(b\\) is in \\(L^{\\infty}\\).
Key concepts: Mathematics, Pure mathematics, Mathematical analysis, Calculus (dental), Medicine, Dentistry