{"id":786,"date":"2020-01-05T13:36:52","date_gmt":"2020-01-05T21:36:52","guid":{"rendered":"https:\/\/math.berkeley.edu\/wp\/apde\/?p=786"},"modified":"2020-01-05T13:36:52","modified_gmt":"2020-01-05T21:36:52","slug":"alexander-volberg-msu","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/apde\/2020\/01\/05\/alexander-volberg-msu\/","title":{"rendered":"Alexander Volberg (MSU)"},"content":{"rendered":"\n\t\t\t\t\n<p>The  APDE seminar on <del>Monday, 01\/13<\/del> <strong>Monday, 01\/27<\/strong> will be given by Alexander Volberg in Evans 939 from 4:10 to 5pm.   <\/p>\n\n\n\n<p>Title: Box condition versus Chang&#8211;Fefferman condition for weighted multi-parameter paraproducts.<\/p>\n\n\n\n<p>\n\n\nAbstract: Paraproducts are building blocks of many singular integral \noperators and the main instrument in proving &#8220;Leibniz rule&#8221; for \nfractional derivatives (Kato&#8211;Ponce). Also multi-parameter paraproducts \nappear naturally in questions of embedding of spaces\n of analytic functions in polydisc into Lebesgues spaces with respect to\n a measure in the polydisc. The latter problem (without loss of \ninformation) can be often reduced to &nbsp;boundedness of weighted dyadic \nmulti-parameter paraproducts.\n\nWe &nbsp;find the necessary and sufficient &nbsp;condition for this boundedness in\n n-parameter case, when n is 1, 2, or 3. &nbsp;The answer is quite unexpected\n and seemingly goes against the well known difference between box and \nChang&#8211;Fefferman condition that was given by\n Carleson quilts example of 1974.<\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The APDE seminar on Monday, 01\/13 Monday, 01\/27 will be given by Alexander Volberg in Evans 939 from 4:10 to 5pm. Title: Box condition versus Chang&#8211;Fefferman condition for weighted multi-parameter paraproducts. Abstract: Paraproducts are building blocks of many singular integral operators and the main instrument in proving &#8220;Leibniz rule&#8221; for fractional derivatives (Kato&#8211;Ponce). Also multi-parameter [&hellip;]<\/p>\n","protected":false},"author":104,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-786","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/786","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/users\/104"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/comments?post=786"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/posts\/786\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/media?parent=786"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/categories?post=786"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/apde\/wp-json\/wp\/v2\/tags?post=786"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}