Journals / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 3
On Space of Parabolic Potentials Associated with the Singular Heat Operator
- Pages
- 299–314
- DOI
- —
Abstract
Anisotropic spaces Lp,ga of parabolic Bessel potentials, associated with the singular heat operator I-Dg+ \frac{\partial}{\partial t}, where Dg = \sum\limitsk=1n \frac{\partial 2}{\partial xk2} + \frac{2g }{xn}. \frac{\partial}{\partial xn}, are introduced, and making use of special wavelet-type transform, a characterization of these spaces is obtained.
Özet
Anisotropic spaces Lp,ga of parabolic Bessel potentials, associated with the singular heat operator I-Dg+ \frac{\partial}{\partial t}, where Dg = \sum\limitsk=1n \frac{\partial 2}{\partial xk2} + \frac{2g }{xn}. \frac{\partial}{\partial xn}, are introduced, and making use of special wavelet-type transform, a characterization of these spaces is obtained.