Harmonic extensions of distributions

DOI10.1002/mana.200510558zbMath1138.46032OpenAlexW2110471813MaRDI QIDQ5434602

Salvador Pérez-Esteva, Martha Guzmán-Partida, Josefina Alvarez Alonso

Publication date: 7 January 2008

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510558

zbMATH Keywords

\(S'\)-convolutiondistributions in weighted spaces as boundary values of harmonic functionsharmonic extensions of distributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (12)

On extremal domains and codomains for convolution of distributions and fractional calculus ⋮ The Dirichlet problem for standard weighted Laplacians in the upper half plane ⋮ Ultradistributional boundary values of harmonic functions on the sphere ⋮ Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces ⋮ Generalized axially symmetric potentials with distributional boundary values ⋮ Onn-dimensional Hilbert transform of weighted distributions ⋮ Unnamed Item ⋮ Boundary uniqueness of harmonic functions and spectral subspaces of operator groups ⋮ New distribution spaces associated to translation-invariant Banach spaces ⋮ Carleson measures and trace theorem for \(\beta\)-harmonic functions ⋮ On convolution in weighted DLp′-spaces ⋮ M. Riesz' kernels as boundary values of conjugate Poisson kernels

Cites Work

• A calculus approach to hyperfunctions I
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