Metrické prostory hölderovských funkcí

Abstract

Nazcv prace: Metricke prostory hoklerovskych funkci Autor: Vojtech .\ovotny Katcdra: Kiitcrlra matenmticke analyzy Vedouci bakalafske pracc: Prof. liNDr. Miruslav lln.sek, DrSc. E-niail vedouciho: mhusek@karlin.mff.cuni.cz Abstrakt: Ukolem bakalafske prace je definovat prostory a-holderovskych zobrazeni s pfirozenou pseudonormou a studovat jejich vlastuosti. Nesepa- rahilitu, uplnost ci v/tahy jednotlivyoh prostoru vysetfujeme nejdfivc na realnych holdorovskycli fuukcich defiuovaiiych na [0, 1], po/xlcji na jinych omezeuych u/.avfeiiych, ...'li i otevfenych intervalech a nakonec na cole reahu'1 pfiince. V /avererne ka.pitole ziskanc vyslcdky zobecnujeine ]>ro ho'ldcrovska /obrazcni v obecnejsich nietriekyrh prostorech. Klicova slova: holdcrovske zobrazeni, ... zobrazoni. niotricky prostor Title: Metric spaces of Holder mappings Author: Vojtech .\ovotny Department: Department of Mathematical Analysis Supervisor: Prof. KA'Dr. Miroslav Ilusek, DrSc. Supervisor's e-mail address: mhusek@karlin.mff.cuni.cz Abstract: The task of the bachelor work is to define spaces of o-Holder map- pings with their natural pscudononn and to study their properties. First we investigate nonseparability. completeness and relations between particular spaces of real Holder functions defined on [0. l], later...

Nazcv prace: Metricke prostory hoklerovskych funkci Autor: Vojtech .\ovotny Katcdra: Kiitcrlra matenmticke analyzy Vedouci bakalafske pracc: Prof. liNDr. Miruslav lln.sek, DrSc. E-niail vedouciho: mhusek@karlin.mff.cuni.cz Abstrakt: Ukolem bakalafske prace je definovat prostory a-holderovskych zobrazeni s pfirozenou pseudonormou a studovat jejich vlastuosti. Nesepa- rahilitu, uplnost ci v/tahy jednotlivyoh prostoru vysetfujeme nejdfivc na realnych holdorovskycli fuukcich defiuovaiiych na [0, 1], po/xlcji na jinych omezeuych u/.avfeiiych, ...'li i otevfenych intervalech a nakonec na cole reahu'1 pfiince. V /avererne ka.pitole ziskanc vyslcdky zobecnujeine ]>ro ho'ldcrovska /obrazcni v obecnejsich nietriekyrh prostorech. Klicova slova: holdcrovske zobrazeni, ... zobrazoni. niotricky prostor Title: Metric spaces of Holder mappings Author: Vojtech .\ovotny Department: Department of Mathematical Analysis Supervisor: Prof. KA'Dr. Miroslav Ilusek, DrSc. Supervisor's e-mail address: mhusek@karlin.mff.cuni.cz Abstract: The task of the bachelor work is to define spaces of o-Holder map- pings with their natural pscudononn and to study their properties. First we investigate nonseparability. completeness and relations between particular spaces of real Holder functions defined on [0. l], later...