REPRESENTATION FORMULAE FOR THE HIGHER-ORDER STEKLOV AND L2m-FRIEDRICHS INEQUALITIES∗
Ozawa T. Suragan D.
2024International Press, Inc.
Asian Journal of Mathematics
2024#28Issue 193 - 102 pp.
In this paper, we obtain remainder term representation formulae for the higherorder Steklov inequality for vector fields which imply short and direct proofs of the sharp (classical) Steklov inequalities. The obtained results directly imply sharp Steklov type inequalities for some vector fields satisfying Hörmander’s condition, for example. We also give representation formulae for the L2m-Friedrichs inequalities for vector fields.
Friedrichs inequality , remainder term , Steklov inequality , vector fields
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Department of Applied Physics, Waseda University, Tokyo, 169-8555, Japan
Department of Mathematics, Nazarbayev University, 53 Kabanbay Batyr Ave, Astana, 010000, Kazakhstan
Department of Applied Physics
Department of Mathematics
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