Hessian measures in the class of m-convex (m - cv) functions
M.B. IsmoilovNational University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanРуслан ШариповUrgench State University,Urgench, Uzbekistan; Institute of Mathematics named after. V.I. Romanovsky Academy of Sciences of Uzbekistan, Urgench, Uzbekistan
ABI
Abstract
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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Cited by 10 references
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