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- W1598459306 abstract "We study the operators begin{equation*}overline {V} f (t)= frac {1}{w(t)} V(f(r) w(r)) (t) end{equation*} where $V$ is the Hardy-Littlewood maximal function, the Hilbert transform or Carleson operator. Under suitable conditions on the weight $w(t)$ of exponential type, we prove boundedness of $overline {V}$ from $L^{p}$ spaces, defined on $[1, +infty )$ with respect to the measure $w^{2}(t) dt,$ to $L^{p} + L^{2}, 1 < pleq 2,$ with the same density measure. These operators, that arise in questions of harmonic analysis on noncompact symmetric spaces, are bounded from $L^{p}$ to $L^{p}, 1 < p < infty ,$ if and only if $p=2$." @default.
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- W1598459306 date "1996-01-01" @default.
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- W1598459306 title "Singular integrals with exponential weights" @default.
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- W1598459306 doi "https://doi.org/10.1090/s0002-9939-96-03272-8" @default.
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