Abstract
We find conditions on the variable parameters p(x),q(t) and α(t), defining the Herz space Hp(·),q(·),α(·)(Rn), for the validity of Sobolev type theorem for the Riesz potential operator to be bounded within the frameworks of such variable exponents Herz spaces. We deal with a "continual" version of Herz spaces (which coincides with the "discrete" one when q is constant).
Original language | English |
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Pages (from-to) | 465-475 |
Number of pages | 11 |
Journal | Mathematische Nachrichten |
Volume | 288 |
Issue number | 4 |
DOIs | |
Publication status | Published - Mar 1 2015 |
Externally published | Yes |
Keywords
- Herz spaces
- Riesz potential operator
- Sublinear operators
- Variable exponent spaces
ASJC Scopus subject areas
- Mathematics(all)