An ontology of directional regularity implying joint regularity

DOI10.14321/REALANALEXCH.34.2.0255zbMath1186.26008OpenAlexW1575878314MaRDI QIDQ1047469

Steven G. Krantz

Publication date: 4 January 2010

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/89e067f2624512acf1be1ec21376a918bf55e55a

zbMATH Keywords

regularitySobolev spaceLipschitz conditionanalyticHölder conditionreal-analyticinfinitely differentiablejoint smoothness, coordinatewise smoothness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Lipschitz (Hölder) classes (26A16) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Continuity and differentiation questions (26B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Holomorphic functions of several complex variables (32A10) Real-analytic functions (26E05)

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