Journal
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Volume 27, Issue 10, Pages 835-845Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10652469.2016.1221952
Keywords
Kontorovich-Lebedev transform; Mehler-Fock transform; L-p-boundedness properties; modified Bessel (or the Macdonald) function; associated Legendre function; Holder's inequality
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In this paper, the authors present a systematic study of several new L-p-boundedness properties for the Kontorovich-Lebedev transform and the Mehler-Fock transform on the spaces L-gamma,L-p(R+) (1 <= p < infinity; gamma is an element of R) and L-infinity(R+). Relevant connections with various earlier related results are also pointed out.
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