Turkish Journal of Mathematics
DOI
-
Abstract
Anisotropic spaces L_{p,\gamma}^{\alpha} of parabolic Bessel potentials, associated with the singular heat operator I-\Delta_{\gamma}+ \frac{\partial}{\partial t}, where \Delta_{\gamma} = \sum\limits_{k=1}^n \frac{\partial ^{2}}{\partial x_{k}^{2}} + \frac{2\gamma }{x_n}. \frac{\partial}{\partial x_n}, are introduced, and making use of special wavelet-type transform, a characterization of these spaces is obtained.
Keywords
Generalized translation, Fourier-Bessel transform, parabolic potential, wavelet transform
First Page
299
Last Page
315
Recommended Citation
SEZER, SİNEM and ALİEV, İLHAM A. (2005) "On Space of Parabolic Potentials Associated with the Singular Heat Operator," Turkish Journal of Mathematics: Vol. 29: No. 3, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol29/iss3/9
