The convergence rate of truncated hypersingular integrals generated by the modified Poisson semigroup

DOI10.1186/S13660-020-02468-9zbMath1503.45012OpenAlexW3047661800MaRDI QIDQ2069538

Melih Eryigit, Sinem Sezer Evcan, Selim Çobanoğlu

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02468-9

zbMATH Keywords

rate of convergencePoisson semigrouptruncated hypersingular integralsFlett potentials

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (45P05) Integral operators (47G10)

Related Items (1)

Flett potentials associated with differential-difference Laplace operators

Cites Work

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• Пространства $L^{α}_{p,r} (R^{n})$ и гиперсингулярные интегралы
• On the rate of $L_p$-convergence of Balakrishnan--Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup
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