Fourier Transform Decay of Distributions in Hardy–Morrey Spaces
摘要
We establish decay estimates for Fourier transform on Hardy–Morrey spaces and its localizable version. Our work includes some aspects to these spaces linked up with pointwise Fourier estimates, in particular a natural approach on cancellation moment conditions. As application, we discuss the optimality for continuity of Fourier multipliers and pseudodifferential operators in Hardy–Morrey spaces.