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.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
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.
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.
ALIEV, I. A., SEZER, S. (2022). On Space of Parabolic Potentials Associated with the Singular Heat Operator. Turkish Journal of Mathematics, Cilt: 29 - Sayı: 3, 299–314. https://ajindex.com/articles/608719
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Sinem SEZER, Ilham A. ALIEV Akdeniz University, Department of Mathematics, Antalya-TURKEY e-mail: [email protected] e-mail: [email protected]