M. Riesz' kernels as boundary values of conjugate Poisson kernels

DOI10.1016/j.bulsci.2010.11.001zbMath1219.42009OpenAlexW2069090414MaRDI QIDQ539847

Peter Wagner, Martha Guzmán-Partida, Norbert Ortner and Peter Wagner

Publication date: 31 May 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2010.11.001

zbMATH Keywords

singular integral operatorsconvolution of distributionsweighted distribution spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (3)

On extremal domains and codomains for convolution of distributions and fractional calculus ⋮ Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions ⋮ On convolution in weighted DLp′-spaces

Cites Work

• Théorie des distributions à valeurs vectorielles. II
• On convolvability conditions for distributions
• Faltung hypersingulärer Integraloperatoren
• Singular integrals
• S'-convolvability with the Poisson kernel in the Euclidean case and the product domain case
• Partielle Differentialgleichungen der Geometrie und der Physik
• Harmonic extensions of distributions
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