Pregled bibliografske jedinice broj: 417081
Some new Hilbert-type inequalities in ${;; ; \bf R};; ; ^n$ and applications to the doubly weighted Hardy-Littlewood-Sobolev inequality
Some new Hilbert-type inequalities in ${;; ; \bf R};; ; ^n$ and applications to the doubly weighted Hardy-Littlewood-Sobolev inequality // Mathematical Conference: 85 years of Professor Blagoj Popov life - Book of Abstracts / Tomovski, Živorad (ur.).
Skopje: Department of Mathematics, University of Skopje, Macedonia, 2008. str. 15-15 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Some new Hilbert-type inequalities in ${;; ; \bf R};; ; ^n$ and applications to the doubly weighted Hardy-Littlewood-Sobolev inequality
Autori
Čižmešija, Aleksandra ; Perić, Ivan ; Vuković, Predrag
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Mathematical Conference: 85 years of Professor Blagoj Popov life - Book of Abstracts
/ Tomovski, Živorad - Skopje : Department of Mathematics, University of Skopje, Macedonia, 2008, 15-15
Skup
Mathematical Conference: 85 years of Professor Blagoj Popov life
Mjesto i datum
Ohrid, Sjeverna Makedonija, 04.09.2008. - 07.09.2008
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
general Hilbert-type inequality ; non-conjugate exponents ; the doubly weighted Hardy-Littlewood-Sobolev inequality
Sažetak
\noindent We state and prove a new general Hilbert-type inequality in ${; ; ; \bf R}; ; ; ^n$ with $k \geq 2$ non-conjugate exponents. Using Selberg's integral formula, we apply this result to obtain explicit upper bounds for the doubly weighted Hardy-Littlewood-Sobolev inequality and some further Hilbert-type inequalities for $k$ non-negative functions and non-conjugate exponents.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Učiteljski fakultet, Zagreb