Transplantation and multiplier theorems for Fourier-Bessel expansions

Ciaurri, Óscar; Stempak, Krzysztof

doi:10.1090/S0002-9947-06-03885-2

Transplantation and multiplier theorems for Fourier-Bessel expansions
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by Óscar Ciaurri and Krzysztof Stempak PDF

Trans. Amer. Math. Soc. 358 (2006), 4441-4465 Request permission

Abstract:

Proved are weighted transplantation inequalities for Fourier-Bessel expansions. These extend known results on this subject by considering the largest possible range of parameters, allowing more weights and admitting a shift. The results are then used to produce a fairly general multiplier theorem with power weights for considered expansions. Also fractional integral results and conjugate function norm inequalities for these expansions are proved.

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