2024-03-28T23:15:32Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696412022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Atomic decomposition for the weighted Besov / Triebel-Lizorkin spaces with A^loc_p weightsIzuki, MitsuoSawano, Yoshihiroopen accessBesov spaceTriebel-Lizorkin spaceatomdecomposition of functions410The aim of this paper is to give a natural definition of the weighted Besov spaces and the weighted Triebel-Lizorkin spaces. The highlight of this paper is that we form an atomic decomposition for the class even wider than the class Ap due to Muckenhoupt.Department of Mathematics, Hokkaido University2007-02-17engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83982http://hdl.handle.net/2115/6964110.14943/83982Hokkaido University Preprint Series in Mathematics832125https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69641/1/pre832.pdfapplication/pdf159.11 KB2007-02-17