{"id":8252,"date":"2016-05-11T16:51:05","date_gmt":"2016-05-11T12:51:05","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=8252"},"modified":"2016-05-11T15:56:25","modified_gmt":"2016-05-11T11:56:25","slug":"the-institute-seminar-on-generalized-potentials-in-variable-exponent-spaces-was-held","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2016\/05\/11\/the-institute-seminar-on-generalized-potentials-in-variable-exponent-spaces-was-held\/","title":{"rendered":"The Institute seminar on \u201cGeneralized potentials in variable exponent spaces\u201d was held"},"content":{"rendered":"

The Institute seminar on \u201cGeneralized potentials in variable exponent spaces\u201d was held.
\nToday at the Institute seminar, senior research associate of \u201cMathematical Analysis\u201d department of IMM M.G. Gadjibekov gave a talk on \u201cGeneralized potentials in variable exponent spaces\u201d.<\/p>\n

The talk deals with 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 the\u00a0problems 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