Pregled bibliografske jedinice broj: 581375
On the multidimensional Hilbert-type inequalities involving the Hardy operator
On the multidimensional Hilbert-type inequalities involving the Hardy operator // Filomat, 26 (2012), 4; 845-857 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 581375 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the multidimensional Hilbert-type inequalities involving the Hardy operator
Autori
Krnić, Mario
Izvornik
Filomat (0354-5180) 26
(2012), 4;
845-857
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
the Hilbert inequality; the Hardy inequality; the Hardy operator; conjugate exponents; non-conjugate exponents; the best possible constant factors
Sažetak
This paper deals with the multidimensional Hilbert-type inequalities involving the Hardy operator and homogeneous kernels. The main results are established in the setting with the non-conjugate exponents. After reduction to the conjugate case, the inequalities with the best possible constant factors are obtained in some general cases. As an application, some particular settings are considered in order to obtain the multidimensional extensions of some recent results, known from the literature.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
