Norm equivalences between a function and its Hankel transform are studied both in the context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type results involving real-valued general monotone functions are obtained. Corresponding results for the Fourier transform are also given.
机构:
King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi ArabiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
Al-Homidan, Suliman
JOURNAL OF INEQUALITIES AND APPLICATIONS,
2012,
: 1
-
9