{"id":8211,"date":"2016-05-10T14:53:18","date_gmt":"2016-05-10T10:53:18","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=8211"},"modified":"2016-05-10T15:06:46","modified_gmt":"2016-05-10T11:06:46","slug":"announcement-15","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2016\/05\/10\/announcement-15\/","title":{"rendered":"Announcement"},"content":{"rendered":"<p style=\"text-align: justify;\">On 11.05.2016, at 10:00 a.m. the next weekly seminar will be held dos. M.G.Gadjibekov, senior research fellow of the department &#8221; Mathematical analysis&#8221;, will deliver a speech on the topic entitled \u201cGeneralized potentials on spaces with variable exponent\u201d.<br \/>\nIn the report we will consider generalized potential operators with the kernel ([p(x;y)])\/[p(x,y)]N on bounded quasimetric measure space (X, \u03c1, \u03bc) with doubling measure \u03bc satisfying the upper growth condition \u03bcB(x,r) \u2264 KrN , N \u2284 (0, \u221e). Under some natural assumptions on a(r) in terms of almost monotonicity we will discuss problems of the boundedness of these potential operators from the variable exponent Lebesgue space \u00a0Lp(\u2022)(X, \u03bc) into a certain Musielak-Orlicz space L\u03a6(X, \u03bc)\u00a0with the N-function \u03a6(x,r) defined by the exponent p(x) and the function a(r).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>On 11.05.2016, at 10:00 a.m. the next weekly seminar will be held dos. M.G.Gadjibekov, senior research fellow of the department &#8221; Mathematical analysis&#8221;, will deliver a speech on the topic entitled \u201cGeneralized potentials on spaces with variable exponent\u201d. In the report we will consider generalized potential operators with the kernel ([p(x;y)])\/[p(x,y)]N on bounded quasimetric measure [&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\/8211"}],"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=8211"}],"version-history":[{"count":2,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/8211\/revisions"}],"predecessor-version":[{"id":8215,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/8211\/revisions\/8215"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=8211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=8211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=8211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}