High order Riesz transforms and mean value formula for generalized translate operator

DOI10.1186/1029-242X-2014-148zbMath1336.31014arXiv1311.2714WikidataQ59322571 ScholiaQ59322571MaRDI QIDQ260168

Cansu Keskin, Hasan H. Sayan, Ismail Ekincioglu

Publication date: 18 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2714

zbMATH Keywords

Riesz transformsmultidimensional Bessel operator

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (3)

Fractional weighted spherical mean and maximal inequality for the weighted spherical mean and its application to singular PDE ⋮ Dynamics of the basic Bessel operator and related convolution operators on spaces of entire functions ⋮ B L m p , ν estimates for the Riesz transforms associated with Laplace-Bessel operator

Cites Work

• Higher Riesz transforms and imaginary powers associated to the harmonic oscillator
• The Sobolev theorem for the Riesz \(B\)-potentials
• The Sobolev theorem for anisotropic Riesz-Bessel potentials in Morrey-Bessel spaces
• Singular heat equation with \(D_{B_{\pm\gamma}}\)-Bessel operator. Fundamental solutions
• Singular integrals generated by a general translation operator. II
• Harmonic analysis operators associated with multidimensional Bessel operators
• WEIGHTED ESTIMATES OF MULTIDIMENSIONAL SINGULAR INTEGRALS GENERATED BY THE GENERALIZED SHIFT OPERATOR
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• On a Theorem of Nicolesco and Generalized Laplace Operators
• Some properties of the anisotropic Riesz-Bessel potential
• Multipliers of the mixed Fourier-Bessel transformation
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