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1952
We consider elliptic nonlinear equations in a separable Hilbert space and their solutions in spaces of Sobolev type.
Let and , where a(s) is a positive continuous function such that and b(s) is quasi-increasing and . Then the following statements for the Hardy-Littlewood maximal function Mf(x) are equivalent: (j) there exist positive constants and such that for all ; (jj) there exist positive constants and such that for all .
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60 of
1952