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- W2000363346 abstract "Let T be a sublinear operator such that (TχE)*(t) ⩽ h(t, |E|) for some positive function h(t,s) and every measurable set E. Then it is shown that under some conditions on the operator T, this restricted weak type estimate can be extended to the set of all functions f∈ L1 such that ‖f‖∞⩽ 1, in the sense that (Tf)*(t)⩽ h(t, ‖f‖1). This inequality allows strong type estimates for T to be obtained on several classes of spaces, such as logarithmic spaces and Lorentz spaces. A similar problem for operators T acting on radial functions is also studied." @default.
- W2000363346 created "2016-06-24" @default.
- W2000363346 creator A5065512206 @default.
- W2000363346 date "2004-12-01" @default.
- W2000363346 modified "2023-09-26" @default.
- W2000363346 title "FROM RESTRICTED WEAK TYPE TO STRONG TYPE ESTIMATES" @default.
- W2000363346 doi "https://doi.org/10.1112/s0024610704005812" @default.
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