A Hardy Inequality for Ultraspherical Expansions with an Application to the Sphere

Autor:	Alberto Arenas, Edgar Labarga, Óscar Ciaurri
Rok vydání:	2017
Předmět:	Pure mathematics Inequality General Mathematics media_common.quotation_subject Mathematics::Classical Analysis and ODEs 02 engineering and technology 01 natural sciences symbols.namesake Uncertainty principles Singularity 0203 mechanical engineering Classical Analysis and ODEs (math.CA) FOS: Mathematics 42C10 0101 mathematics Mathematics media_common Mathematics::Functional Analysis Partial differential equation Applied Mathematics Hardy inequalities 010102 general mathematics Mathematical analysis Representation (systemics) 020303 mechanical engineering & transports Mathematics - Classical Analysis and ODEs Fourier analysis symbols SPHERES Ground state Ultraspherical expansions Analysis
Zdroj:	RIUR. Repositorio Institucional de la Universidad de La Rioja instname
ISSN:	1531-5851 1069-5869
DOI:	10.1007/s00041-017-9531-0
Popis:	We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity. 12 pages, to be published in Journal of Fourier Analysis and Applications
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8f4eb1dae8ffa74aa72b6a2ae00e6d4 https://doi.org/10.1007/s00041-017-9531-0 Zobrazit plný text záznamu Full text from SpringerLink