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Function Spaces, Weighted Inequalities and Interpolation

Project goals

The main objective of this project is an intensive research of properties of important function spaces, relations between them and behaviour of operators on them. In particular, we intend to find easily verifiable conditions which characterize embeddings

Keywords

functionspacesweightedinequalitiesintegraloperatorsembeddingsinterpolation

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    Standardní projekty 11 (SGA02008GA-ST)

  • Main participants

  • Contest type

    VS - Public tender

  • Contract ID

    201-08-0383

Alternative language

  • Project name in Czech

    Prostory funkcí, váhové nerovnosti a interpolace

  • Annotation in Czech

    Podstatou tohoto projektu je intenzívní výzkum vlastností důležitých prostorů funkcí, vztahů mezi různými prostory funkcí, chování operátorů na prostorech funkcí. Tyto vědecké disciplíny se prudce rozvíjejí a výsledky nacházejí široké uplatnění v teoriip

Scientific branches

  • R&D category

    ZV - Basic research

  • CEP classification - main branch

    BA - General mathematics

  • CEP - secondary branch

  • CEP - another secondary branch

  • 10101 - Pure mathematics

Completed project evaluation

  • Provider evaluation

    V - Vynikající výsledky projektu (s mezinárodním významem atd.)

  • Project results evaluation

    The scientific contribution of the project is given by answering several important opened problems in the theory of function spaces. The characterization of the results is adequate. The results of the project are applicable in research and practice. Theoutputs contain 43 papers published in impacted journals, further 18 papers were submitted for publication. The financial rules were respected.

Solution timeline

  • Realization period - beginning

    Jan 1, 2008

  • Realization period - end

    Dec 31, 2012

  • Project status

    U - Finished project

  • Latest support payment

    Apr 1, 2012

Data delivery to CEP

  • Confidentiality

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

  • Data delivery code

    CEP13-GA0-GA-U/02:3

  • Data delivery date

    May 17, 2016

Finance

  • Total approved costs

    3,030 thou. CZK

  • Public financial support

    3,030 thou. CZK

  • Other public sources

    0 thou. CZK

  • Non public and foreign sources

    0 thou. CZK

Recognised costs

3 030 CZK thou.

Public support

3 030 CZK thou.

0%


Provider

Czech Science Foundation

CEP

BA - General mathematics

Solution period

01. 01. 2008 - 31. 12. 2012