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• 1 University of Mostaganem Department of Mathematics Box 227 Mostaganem 27000 Algeria
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## Abstract

The most important result stated in this paper is to show that the solutions of the Poisson equation −Δu = f, where f

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{M}$$ \end{document}
(Ḣ1(ℝd) → (Ḣ−1(ℝd)) is a complex-valued distribution on ℝd, satisfy the regularity property Dku
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathcal{M}$$ \end{document}
(Ḣ1 → Ḣ−1) for all k, |k| = 2. The regularity of this equation is well studied by Maz’ya and Verbitsky [12] in the case where f belongs to the class of positive Borel measures.

Manuscript Submission: HERE

• Impact Factor (2019): 0.693
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• SJR Quartile Score (2019): Q3 Mathematics (miscellaneous)
• Impact Factor (2018): 0.664
• Scimago Journal Rank (2018): 0.412
• SJR Hirsch-Index (2018): 19
• SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

Author: L. Fuchs

## A remark on the extended Hermite—Fejér type interpolation of higher order

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