{"id":6762,"date":"2015-12-16T16:12:36","date_gmt":"2015-12-16T12:12:36","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=6762"},"modified":"2015-12-16T13:13:46","modified_gmt":"2015-12-16T09:13:46","slug":"the-institute-seminar-on-oneil-inequality-for-multilinear-convolution-and-some-aplications","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2015\/12\/16\/the-institute-seminar-on-oneil-inequality-for-multilinear-convolution-and-some-aplications\/","title":{"rendered":"The Institute seminar on\u00a0\u201cO\u2019Neil inequality for multilinear convolution and some aplications\u201d"},"content":{"rendered":"<p style=\"text-align: justify;\">On September 16.12.2015, 10:00 a.m. featured a report by corresponding member of ANAS, professor, head of the Department of Mathematical Analysis Vagif Sabir oglu Guliyev, entitled \u201cO\u2019Neil inequality for multilinear convolution and some aplications\u201d.<br \/>\nWe prove the O\u2019Neil inequality for the multilinear convolutions in the Lorentz spaces. As an application, we obtain the necessary and sufficient conditions on the parameters for the boundedness of the multisublinear fractional maximal operator and multilinear fractional integral operator with rough kernels in Lorentz spaces.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-6762\" data-ride=\"carousel\"><ol class='carousel-indicators'><li data-target=\"#carousel-1\" data-slide-to=\"0\" class=\"active\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"1\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"2\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"3\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"4\" class=\"\"><\/li><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a 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We prove the O\u2019Neil inequality for the multilinear convolutions in the Lorentz spaces. As an application, we obtain the necessary and [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[85,88],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/6762"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=6762"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/6762\/revisions"}],"predecessor-version":[{"id":6763,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/6762\/revisions\/6763"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=6762"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=6762"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=6762"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}