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Relevant bibliographies by topics / Hardyho operátor

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Dissertations / Theses

Academic literature on the topic 'Hardyho operátor'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Dissertations / Theses on the topic "Hardyho operátor"

1

Musil, Vít. "Klasické operátory harmonické analýzy v Orliczových prostorech." Doctoral thesis, 2018. http://www.nusl.cz/ntk/nusl-392438.

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Classical operators of harmonic analysis in Orlicz spaces V'ıt Musil We deal with classical operators of harmonic analysis in Orlicz spaces such as the Hardy-Littlewood maximal operator, the Hardy-type integral operators, the maximal operator of fractional order, the Riesz potential, the Laplace transform, and also with Sobolev-type embeddings on open subsets of Rn or with respect to Frostman measures and, in particular, trace embeddings on the boundary. For each operator (in case of embeddings we consider the identity operator) we investigate the question of its boundedness from an Orlicz spa

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2

Křepela, Martin. "Integrální a supremální operátory na váhových prostorech funkcí." Doctoral thesis, 2017. http://www.nusl.cz/ntk/nusl-357744.

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Title: Integral and Supremal Operators on Weighted Function Spaces Author: Martin Křepela Department: Department of Mathematical Analysis Supervisor: prof. RNDr. Luboš Pick, CSc., DSc., Department of Mathematical Analysis Abstract: The common topic of this thesis is boundedness of integral and supre- mal operators between function spaces with weights. The results of this work have the form of characterizations of validity of weighted operator inequalities for appropriate cones of functions. The outcome can be divided into three cate- gories according to the particular type of studied operators

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3

Oľhava, Rastislav. "Optimální dvojice prostorů funkcí pro váhové Hardyovy operátory." Master's thesis, 2011. http://www.nusl.cz/ntk/nusl-313719.

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Title: Optimal pairs of function spaces for weighted Hardy operators Author: Rastislav Ol'hava Department: Department of Mathematical Analysis Supervisor of the master thesis: Prof. RNDr. Luboš Pick, CSc., DSc., Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Prague 8, Czech Republic Abstrakt: We focus on a certain weighted Hardy operator, with a continuous, quasi- concave weight, defined on a rearrangement-invariant Banach function spaces. The op- erators of Hardy type are of great use to the theory of function spaces. The men

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4

Krejčí, Jan. "Optimalita prostorů funkcí pro integrální operátor s váhou." Master's thesis, 2020. http://www.nusl.cz/ntk/nusl-434946.

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This thesis studies questions related to the boundedness of the integral op- erator T : f → 1 t wf∗ , where w is a given non-increasing function and f∗ is a non-increasing rearrange- ment of a function f. The main goal is to characterize the optimal range for the operator and a given domain and conversely optimal domain for a given range. These results are then illustrated on particular examples. Lastly, some necessary conditions for the existence of optimal space are given. 1

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5

Bathory, Michal. "Konjugovaná funkce." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-347544.

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Using interpolation methods, new results on the boundedness of quasilinear joint weak type operators on Lorentz-Karamata (LK) spaces are established. LK spaces generalize many function spaces introduced before in literature, for example, the generalized Lorentz- Zygmund spaces, the Zygmund spaces, the Lorentz spaces and, of course, the Lebesgue spaces. The focus is mainly on the limiting cases of interpolation, where the spaces involved are, in certain sense, very close to the endpoint spaces. The results contain both necessary and sufficient conditions for the boundedness of the given operato

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