Izvorni znanstveni članak

https://doi.org/10.3336/gm.45.2.14

Vector-valued inequalities on Herz spaces and characterizations of Herz-Sobolev spaces with variable exponent

Mitsuo Izuki ; Department of Mathematics, Faculty of Science, Hokkaido University, Kita 10 Nishi 8, Kita-ku, Sapporo, Hokkaido 060-0810, Japan

Sažetak

Our first aim in this paper is to prove the vector-valued inequalities for some sublinear operators on Herz spaces with variable exponent. As an application, we obtain some equivalent norms and wavelet characterization of Herz-Sobolev spaces with variable exponent.

Ključne riječi

Herz-Sobolev space with variable exponent; wavelet; vector-valued inequality

Hrčak ID:

62702

URI

https://hrcak.srce.hr/62702

Datum izdavanja:

24.12.2010.

Posjeta: 986 *