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Local monotonicity of measures supported by graphs of convex functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F04%3A00002566" target="_blank" >RIV/00216208:11320/04:00002566 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Local monotonicity of measures supported by graphs of convex functions

  • Original language description

    We prove that the 1-dimensional Hausdorff measure restricted to the graph of a function f is locally monotone near the origin provided f''>>0 on some neighbourhood of zero.

  • Czech name

    Lokální monotonie měr nesených grafy konvexních funkcí

  • Czech description

    Dokazujeme, že 1-dimenzionální Hausdorffova míra nesená grafem funkce f je lokalně monotonní na okolí počátku za předpokladu, že f''>>0 na okolí nuly.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F03%2F0931" target="_blank" >GA201/03/0931: Theory of Real Functions and Distributions II.</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2004

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Publicacions Matematiques

  • ISSN

    0214-1493

  • e-ISSN

  • Volume of the periodical

    2004

  • Issue of the periodical within the volume

    48

  • Country of publishing house

    ES - SPAIN

  • Number of pages

    12

  • Pages from-to

    369-380

  • UT code for WoS article

  • EID of the result in the Scopus database