Hessian measures in the class of m-convex (m - cv) functions
The theory of m-convex (m − cv) functions is a new direction in the real geometry. In this work, by using the connection m − cv functions with strongly m-subharmonic (shm) functions and using well-known and rich properties of shm functions, we show a number of important properties of the class of m−...
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Veröffentlicht in: | Қарағанды университетінің хабаршысы. Математика сериясы 2024-09, Vol.115 (3), p.93-100 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | The theory of m-convex (m − cv) functions is a new direction in the real geometry. In this work, by using the connection m − cv functions with strongly m-subharmonic (shm) functions and using well-known and rich properties of shm functions, we show a number of important properties of the class of m−cv functions, in particular, we study Hessians Hk(u), k = 1, 2, ..., n − m +1, in the class of bounded m − cv functions. |
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ISSN: | 2518-7929 2663-5011 |
DOI: | 10.31489/2024m3/93-100 |