Fourier multipliers and pseudo-differential operators are defined by means of the Fourier transform and play an important role in the study of partial differential equations. In the same spirit, Hermite pseudo-multipliers are associated to Hermite expansions and they represent the counterparts to pseudo-differential operators in the Hermite setting.<\/p>\n\n\n\n
After some preliminaries, we will present results on boundedness properties of pseudo-multipliers in function spaces associated to the Hermite operator. The main tools in the proofs involve new molecular decompositions and molecular synthesis estimates for Hermite Besov and Hermite Triebel-Lizorkin spaces, which allow to obtain boundedness results on spaces for which the smoothness allowed includes non-positive values. In particular, we obtain boundedness results for pseudo-multipliers on Lebesgue and Hermite local Hardy spaces<\/p>","protected":false},"excerpt":{"rendered":"
Fourier multipliers and pseudo-differential operators are defined by means of the Fourier transform and play an important role in the study of partial differential equations. In the same spirit, Hermite pseudo-multipliers are associated to Hermite expansions and they represent the counterparts to pseudo-differential operators in the Hermite setting. After some preliminaries, we will present results<\/p>","protected":false},"author":13,"featured_media":5789,"parent":0,"template":"","meta":{"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":""},"tags":[],"event_types":[26],"event_times":[],"acf":[],"featured_img":"https:\/\/aims-cameroon.org\/wp-content\/uploads\/sites\/6\/2021\/10\/V.jpg","coauthors":[],"author_meta":{"author_link":"https:\/\/aims-cameroon.org\/fr\/author\/george\/","display_name":"george"},"relative_dates":{"created":"Publi\u00e9 5 ans il y a","modified":"Mis \u00e0 jour 5 ans il y a"},"absolute_dates":{"created":"Publi\u00e9 le octobre 2, 2021","modified":"Mise \u00e0 jour le octobre 2, 2021"},"absolute_dates_time":{"created":"Publi\u00e9 le octobre 2, 2021 2:00 ","modified":"Mise \u00e0 jour le octobre 2, 2021 2:00 "},"featured_img_caption":"","tax_additional":{"post_tag":{"linked":[],"unlinked":[],"slug":"post_tag","name":"\u00c9tiquettes"},"event_types":{"linked":["Workshop<\/a>"],"unlinked":["Workshop<\/span>"],"slug":"event_types","name":"Event Type"},"event_times":{"linked":[],"unlinked":[],"slug":"event_times","name":"Event Time"}},"series_order":"","_links":{"self":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5788"}],"collection":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event"}],"about":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/types\/event"}],"author":[{"embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/users\/13"}],"version-history":[{"count":2,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5788\/revisions"}],"predecessor-version":[{"id":5791,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5788\/revisions\/5791"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/media\/5789"}],"wp:attachment":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/media?parent=5788"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/tags?post=5788"},{"taxonomy":"event_types","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event_types?post=5788"},{"taxonomy":"event_times","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event_times?post=5788"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}