Distributional boundary values in \({\mathcal D}'_{L^ p}\)

zbMath0235.46063MaRDI QIDQ2551936

Richard D. Carmichael

Publication date: 1970

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1970__43__35_0

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (6)

Distributions as the boundary values of analytic functions ⋮ Distributional boundary values in \(D'_{L_p}\). III ⋮ Distributional boundary values in \(\mathcal D_{L^p}'\). IV ⋮ Distributional boundary values in \({\mathcal D}'_{L^{p}}\). II ⋮ Darstellung skalarer und vektorwertiger Distributionen aus D'\(_{L_p}\) durch Randwerte holomorpher Funktionen ⋮ Distributional boundary values in \({\mathcal D}'_{L^ p}\). V

Cites Work

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• Distributional boundary value theorems and Hilbert transforms
• The Hilbert problem for generalized functions
• Supports dans la transformation de Laplace
• On the Paley-Wiener theorem
• Functions analytic in an octant and boundary values of distributions

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