Turkish Journal of Mathematics
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.
DOI
-
Keywords
Generalized translation, Fourier-Bessel transform, parabolic potential, wavelet transform
First Page
299
Last Page
315
Recommended Citation
SEZER, S, & ALİEV, İ. A (2005). On Space of Parabolic Potentials Associated with the Singular Heat Operator. Turkish Journal of Mathematics 29 (3): 299-315. https://doi.org/-
