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Pregled bibliografske jedinice broj: 417081

Some new Hilbert-type inequalities in ${;; ; \bf R};; ; ^n$ and applications to the doubly weighted Hardy-Littlewood-Sobolev inequality


Čižmešija, Aleksandra; Perić, Ivan; Vuković, Predrag
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


Citiraj ovu publikaciju:

Čižmešija, Aleksandra; Perić, Ivan; Vuković, Predrag
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)
Čižmešija, A., Perić, I. & Vuković, P. (2008) Some new Hilbert-type inequalities in ${;; ; \bf R};; ; ^n$ and applications to the doubly weighted Hardy-Littlewood-Sobolev inequality. U: Tomovski, Ž. (ur.)Mathematical Conference: 85 years of Professor Blagoj Popov life - Book of Abstracts.
@article{article, author = {\v{C}i\v{z}me\v{s}ija, Aleksandra and Peri\'{c}, Ivan and Vukovi\'{c}, Predrag}, editor = {Tomovski, \v{Z}.}, year = {2008}, pages = {15-15}, keywords = {general Hilbert-type inequality, non-conjugate exponents, the doubly weighted Hardy-Littlewood-Sobolev inequality}, title = {Some new Hilbert-type inequalities in ${;; ; \bf R};; ; \^{}n$ and applications to the doubly weighted Hardy-Littlewood-Sobolev inequality}, keyword = {general Hilbert-type inequality, non-conjugate exponents, the doubly weighted Hardy-Littlewood-Sobolev inequality}, publisher = {Department of Mathematics, University of Skopje, Macedonia}, publisherplace = {Ohrid, Sjeverna Makedonija} }
@article{article, author = {\v{C}i\v{z}me\v{s}ija, Aleksandra and Peri\'{c}, Ivan and Vukovi\'{c}, Predrag}, editor = {Tomovski, \v{Z}.}, year = {2008}, pages = {15-15}, keywords = {general Hilbert-type inequality, non-conjugate exponents, the doubly weighted Hardy-Littlewood-Sobolev inequality}, title = {Some new Hilbert-type inequalities in ${;; ; \bf R};; ; \^{}n$ and applications to the doubly weighted Hardy-Littlewood-Sobolev inequality}, keyword = {general Hilbert-type inequality, non-conjugate exponents, the doubly weighted Hardy-Littlewood-Sobolev inequality}, publisher = {Department of Mathematics, University of Skopje, Macedonia}, publisherplace = {Ohrid, Sjeverna Makedonija} }




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