. "Navrhujeme studovat ur\u010Dit\u00E9 t\u0159\u00EDdy oper\u00E1tor\u016F, kter\u00E9 hraj\u00ED d\u016Fle\u017Eitou roli v harmonick\u00E9 anal\u00FDze. Singul\u00E1rn\u00ED integr\u00E1ln\u00ED oper\u00E1tor je konvolu\u010Dn\u00ED oper\u00E1tor s neintegrovateln\u00FDm j\u00E1drem. Pokud j\u00E1dro nespl\u0148uje \u017E\u00E1dnou podm\u00EDnku hladkosti, naz\u00FDv\u00E1 se oper\u00E1tor hrub\u00FD. Na\u0161\u00EDm z\u00E1m\u011Brem je studovat ur\u010Dit\u00E9 typy hrub\u00FDch oper\u00E1tor\u016F, line\u00E1rn\u00EDch a biline\u00E1rn\u00EDch. Maxim\u00E1ln\u00ED oper\u00E1tory maj\u00ED mnoho vyu\u017Eit\u00ED, pravd\u011Bpodobn\u011B nejdule\u017Eit\u011Bj\u0161\u00ED je studium skoro v\u0161ude konvergence. Chceme studovat hrub\u00E9 maxim\u00E1ln\u00ED oper\u00E1tory, kter\u00E9 jsou p\u0159\u00EDbuzn\u00E9 hrub\u00FDm singul\u00E1rn\u00EDm integr\u00E1ln\u00EDm oper\u00E1tor\u016Fm. Tak\u00E9 se chceme zam\u011B\u0159it na maxim\u00E1ln\u00ED oper\u00E1tory vznikaj\u00EDc\u00ED z Fourierov\u00FDch multiplik\u00E1tor\u016F. D\u00E1le chceme pracovat na probl\u00E9mech souvisej\u00EDc\u00EDch s extrapola\u010Dn\u00EDmi prostory ur\u010Dit\u00FDch typ\u016F." . "Singular operators; maximal operators; function spaces"@en . . . . "2012-05-25+02:00"^^ . . "5"^^ . "We propose to study certain classes o operators which play important role in Harmonic analysis. A singular integral operator is a convolution operator with non-integrable kernel. If the kernel does not satisfy any smoothness conditions the operator is called rough. We intend to study rough operators of certain types, linear and bilinear. Maximal operators have many uses, probably the most important is the study o almost everywhere convergence. We wish to study rough maximal operators, which are related to the rough singular integral operators. We also want to focus on maximal operators related to Fourier multiplier operators. Furthermore, we want to work on a problem related to interpolation spaces of certain types."@en . "Bylo dosa\u017Eeno n\u011Bkolika v\u00FDsledk\u016F z oblasti singul\u00E1rn\u00EDch integr\u00E1ln\u00EDch oper\u00E1tor\u016F s hrub\u00FDm j\u00E1drem, biline\u00E1rn\u00EDch oper\u00E1tor\u016F s hrub\u00FDm j\u00E1drem a maxim\u00E1ln\u00EDch multiplik\u00E1tor\u016F. V\u00FDsledky byly prezentov\u00E1ny na mezin\u00E1rodn\u00ED \u00FArovni. C\u00EDle projektu byly spln\u011Bny."@cs . . "2011-12-31+01:00"^^ . "5"^^ . . . "2009-01-01+01:00"^^ . . . . "2011-03-18+01:00"^^ . . "1"^^ . . . . "Singular operators" . "0"^^ . "Singul\u00E1rn\u00ED a maxim\u00E1ln\u00ED oper\u00E1tory na prostorech funkc\u00ED" . . "KJB100190901" . "Singular and maximal operators on function spaces"@en . "http://www.isvav.cz/projectDetail.do?rowId=KJB100190901"^^ . "0"^^ . "A few results concerning singular integral operators with rough kernels, bilinear operators with rough kernels and maximal multipliers were proved. These results were presented on international level. Project goals were met."@en . . . " maximal operators" .