Naslov
Sharp Self-Improving property of Discrete Muckenhoupt and Gehring Weights

Autori
Saker, Samir ; Rabie, Safi ; Krnić, Mario

Izvornik
Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas (1578-7303) 115 (2021), 3; 119, 8

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
weight, discrete Gehring class, discrete Muckenhoupt class, self-improving property

Sažetak
We prove that the weighted discrete Muckenhoupt class $\mathcal{; ; A}; ; _{; ; \lambda }; ; ^{; ; 1}; ; (C)$, $C>1$, consisting of nonincreasing sequences, belongs to the weighted discrete Gehring class $ \mathcal{; ; G}; ; _{; ; \lambda }; ; ^{; ; p}; ; (A)$, by giving sharp explicit values of exponent $ p$ and constant $A$. Next, we prove the self-improving property of the weighted Gehring class $\mathcal{; ; G}; ; _{; ; \lambda }; ; ^{; ; p}; ; ({; ; K)}; ; $, $p>1$, $K>1$, consisting of nonincreasing sequences. The exponent and the constant of transition are also explicitly given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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