{"id":8965,"date":"2016-09-23T18:15:36","date_gmt":"2016-09-23T14:15:36","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=8965"},"modified":"2016-09-23T15:29:58","modified_gmt":"2016-09-23T11:29:58","slug":"attention-73","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2016\/09\/23\/attention-73\/","title":{"rendered":"ATTENTION"},"content":{"rendered":"<p style=\"text-align: justify;\">On 28.09.2016 at 10.00 at the Institute seminar, associated professor Rza Ch. Mustafayev will give a talk on \u201cWeak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function\u201d.<\/p>\n<p style=\"text-align: justify;\">In this report we will discuss the unboundedness of the Hardy-Littlewood maximal operator<strong> <em>M<\/em><\/strong>\u00a0on Zygmund-Morrey space <em>M<sub>L(logL), \u03bb<\/sub>(\u211c<sup>n<\/sup>),<\/em><em>\u00a0<\/em>0 &lt; <em>\u03bb<\/em>&lt; n , \u00a0as well as the boundedness of <strong><em>M<\/em> <\/strong>on <em>M<sub>L(logL),\u03bb<\/sub>(\u211c<sup>n<\/sup>)<\/em> for radially decreasing functions and the boundedness of the iterated maximal operator \u00a0M<sup>2<\/sup>\u00a0 from <em>M<sub>L(logL), \u03bb\u00a0<\/sub>(\u211c<sup>n<\/sup>) <\/em>to weak Zygmund-Morrey space \u00a0 W<em>M<sub>L(logL),\u03bb\u00a0<\/sub>(\u211c<sup>n<\/sup>) . <\/em>The class of functions for which the maximal commutator\u00a0C<sub>b<\/sub>\u00a0is bounded from <em>M<sub>L(logL),\u03bb<\/sub>(\u211c<sup>n<\/sup>) <\/em>to W<em>M<sub>L(logL),\u03bb\u00a0<\/sub>(\u211c<sup>n<\/sup>) <\/em>is characterized. It is proved that the commutator of the Hardy-Littlewood maximal operator <strong><em>M\u00a0<\/em><\/strong>with function\u00a0\u00a0<strong>b \u2208 <em>BMO<\/em>\u00a0<\/strong>(\u211c<sup>n<\/sup>) such that <em><strong>b<\/strong><\/em><sup><strong>&#8211;<\/strong><\/sup>\u2208<strong>L<sub>\u221e<\/sub><\/strong><em>(\u211c<sup>n<\/sup>)<\/em> is bounded from \u00a0\u00a0<em>M<sub>L(logL), \u03bb<\/sub>(\u211c<sup>n<\/sup>) <\/em>to\u00a0W<em>M<sub>L(logL),\u03bb\u00a0<\/sub>(\u211c<sup>n<\/sup>)\u00a0<\/em>.<\/p>\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>On 28.09.2016 at 10.00 at the Institute seminar, associated professor Rza Ch. Mustafayev will give a talk on \u201cWeak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function\u201d. In this report we will discuss the unboundedness of the Hardy-Littlewood maximal operator M\u00a0on Zygmund-Morrey space ML(logL), \u03bb(\u211cn),\u00a00 &lt; \u03bb&lt; n , \u00a0as well [&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\/8965"}],"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=8965"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/8965\/revisions"}],"predecessor-version":[{"id":8975,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/8965\/revisions\/8975"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=8965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=8965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=8965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}