Abstract
In this paper, we introduce the mixed norm Lebesgue spaces with variable exponent. We use this family of function spaces to study Calderón-Zygmund operators on product domains, the Littlewood-Paley operators associated with family of disjoint rectangles, the non-tangential maximal function and the area function for bi-harmonic functions, the Ricci-Stein singular integrals and the characterizations of the function space of bounded mean oscillation. Copyright © 2018 Università Di Parma.
| Original language | English |
|---|---|
| Pages (from-to) | 21-44 |
| Journal | Rivista di Matematica della Universita di Parma |
| Volume | 9 |
| Issue number | 1 |
| Publication status | Published - 2018 |
Citation
Ho, K.-P. (2018). Mixed norm Lebesgue spaces with variable exponents and applications. Rivista di Matematica della Università di Parma, 9(1), 21-44. Retrieved from http://rivista.math.unipr.it/vols/2018-9-1/02-ho.htmlKeywords
- Mixed-norm spaces
- Lebesgue spaces with variable exponent
- Extrapolation
- Product domains
- Calderón-Zygmund operators
- Littlewood-Paley operators
- Bi-harmonic functions
- Ricci-Stein singular integrals
- BMO