Multipliers of Fourier Transforms
In this chapter weighted Triebel-Lizorkin spaces are defined in a general settiing. The two-weighted criteria for fractional and singular integrals derived in the previous chapters enable us to develop a new approach to the theory of multipliers of Fourier transforms. For (L p, L q) multipliers we establish two-weight estimates involving weight functions which do not necessarily belong to the class A p . It should be noted that the derived conditions are not only sufficient but also necessary for a whole class of multipliers under consideration.
KeywordsWeight Function Singular Integral Fourier Multiplier Finite Measure Fourier Image
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