- Turkish Journal of Mathematics
- Vol: 29 Issue: 3
- On Space of Parabolic Potentials Associated with the Singular Heat Operator
On Space of Parabolic Potentials Associated with the Singular Heat Operator
Authors : Sinem Sezer, Ilham A. Aliev
Pages : 299-315
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Generalized translation, Fourier-Bessel transform, parabolic potential, wavelet transform