Reduction principles

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Reduction principles

Popis výsledku v původním jazyce

One of the most interesting observations is that a reduction principle usually bears some kind of information about optimality of function spaces involved in inequalities, embeddings, and boundedness of operators. It is mainly this fact that makes reduction principles so important in applications. This way one can obtain a very valuable information about the location of a threshold in certain inequalities. The text is structured as follows. We begin with a rather substantial introductory section (Sect.3.1), in which we explain the motivation for the questions that will be studied in detail later. We illustrate the problems on various examples of differential operators, including those acting on an Euclidean space endowed with the Gaussian measure, and also some customary integral operators. One of the most notable features pointed out here is the need for a substantial extension of the pool of function spaces.

Název v anglickém jazyce

Reduction principles

Popis výsledku anglicky

One of the most interesting observations is that a reduction principle usually bears some kind of information about optimality of function spaces involved in inequalities, embeddings, and boundedness of operators. It is mainly this fact that makes reduction principles so important in applications. This way one can obtain a very valuable information about the location of a threshold in certain inequalities. The text is structured as follows. We begin with a rather substantial introductory section (Sect.3.1), in which we explain the motivation for the questions that will be studied in detail later. We illustrate the problems on various examples of differential operators, including those acting on an Euclidean space endowed with the Gaussian measure, and also some customary integral operators. One of the most notable features pointed out here is the need for a substantial extension of the pool of function spaces.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název statě ve sborníku

Reduction principles

ISBN

978-3-031-67601-7

ISSN

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e-ISSN

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Počet stran výsledku

76

Strana od-do

151-226

Název nakladatele

Springer, Cham

Místo vydání

Cham

Místo konání akce

Cetrano

Datum konání akce

22. 6. 2022

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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