@article{oai:kanazawa-u.repo.nii.ac.jp:00000943, author = {Sato, Shuichi}, issue = {1}, journal = {Integral Equations and Operator Theory}, month = {Jan}, note = {We consider certain Littlewood–Paley operators and prove characterization of some function spaces in terms of those operators. When treating weighted Lebesgue spaces, a generalization to weighted spaces will be made for Hörmander’s theorem on the invertibility of homogeneous Fourier multipliers. Also, applications to the theory of Sobolev spaces will be given. © 2016 Springer International Publishing, Embargo Period 12 months}, pages = {15--44}, title = {Littlewood–Paley Equivalence and Homogeneous Fourier Multipliers}, volume = {87}, year = {2017} }