Harmonic Analysis on Semigroups
Copyright policy )Harmonic Analysis on Semigroups
wherever t > 0 and 1 < p < so. E. M. Stein [St 3] developed a "LittlewoodPaley" theory for such semigroups, with some additional hypotheses. R. R. Coifman, R. Rochberg, and G. Weiss [CRW] pointed out that some of Stein's estimates could be obtained more simply by the use of "transference" techniques which were developed by Coifman and Weiss [CW]. Our object is to push these transference methods to present an alternative and simpler approach to some of the principal results of Stein's book. We shall also use these results to prove estimates for the "wave equation"
Maximal functions, Littlewood-Paley theory, positive unbounded operator, contraction, Lp, boundedness, holomorphic, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), \(L^2\), semigroup, transference method, wave equation, complex interpolation, maximal operator
Maximal functions, Littlewood-Paley theory, positive unbounded operator, contraction, Lp, boundedness, holomorphic, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), \(L^2\), semigroup, transference method, wave equation, complex interpolation, maximal operator
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