Ilham A. ALIEV, Sinem SEZER

On Space of Parabolic Potentials Associated with the Singular Heat Operator

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.

Anahtar Kelimeler:

Generalized translation, Fourier-Bessel transform, parabolic potential, wavelet transform

On Space of Parabolic Potentials Associated with the Singular Heat Operator

Keywords:

Generalized translation, Fourier-Bessel transform, parabolic potential, wavelet transform,

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Sinem SEZER, Ilham A. ALIEV Akdeniz University, Department of Mathematics, Antalya-TURKEY e-mail: sinemsezer@akdeniz.edu.tr e-mail: ialiev@akdeniz.edu.tr