"16"^^ . "Notes; absolutely; continuous; functions; several; variables"@en . . "Let $\\Omega\\subset\\rn$ be a domain. The result of J. Kauhanen, P. Koskela and J. Mal\\'y \\cite{KKM} states that a function $f:\\Omega\\to\\er$ with a derivative in the Lorentz space $ L^{n,1}(\\Omega,\\rn)$ is $n$-absolutely continuous in the sense of \\cite{M}. We give an example of an absolutely continuous function of two variables, whose derivative is not in $L^{2,1}$. The boundary behaviour of $n$-absolutely continuous functions is also studied." . "11320" . . "RIV/00216208:11320/05:00001313!RIV06-MSM-11320___" . "Notes on absolutely continuous functions of several variables" . . "Hencl, Stanislav" . . "1"^^ . "[02B7FAA8ADCF]" . "Pozn\u00E1mky k absolutn\u011B spojit\u00FDm funkc\u00EDm v\u00EDce prom\u011Bnn\u00FDch"@cs . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "0147-1937" . . . "Notes on absolutely continuous functions of several variables"@en . "1" . "Je zkonstruov\u00E1n p\u0159\u00EDklad absolutn\u011B spojit\u00E9 funkce dvou prom\u011Bnn\u00FDch, kter\u00E1 nele\u017E\u00ED v Lorentzov\u011B prostoru $L^{2,1}$. Je tak\u00E9 studov\u00E1no hrani\u010Dn\u00ED chov\u00E1n\u00ED $n$-absolutn\u011B spojit\u00FDch funkc\u00ED."@cs . "1"^^ . . "Pozn\u00E1mky k absolutn\u011B spojit\u00FDm funkc\u00EDm v\u00EDce prom\u011Bnn\u00FDch"@cs . . "Real Analysis Exchange" . "Notes on absolutely continuous functions of several variables" . . . "30" . . "Z(MSM 113200007)" . "59;74" . . . "533111" . "RIV/00216208:11320/05:00001313" . . . . "Notes on absolutely continuous functions of several variables"@en . "Let $\\Omega\\subset\\rn$ be a domain. The result of J. Kauhanen, P. Koskela and J. Mal\\'y \\cite{KKM} states that a function $f:\\Omega\\to\\er$ with a derivative in the Lorentz space $ L^{n,1}(\\Omega,\\rn)$ is $n$-absolutely continuous in the sense of \\cite{M}. We give an example of an absolutely continuous function of two variables, whose derivative is not in $L^{2,1}$. The boundary behaviour of $n$-absolutely continuous functions is also studied."@en . . .