On Space-Time Quasiconcave Solutions of the Heat Equation, Chuanqiang Chen, Xinan Ma, Paolo Salani

Автор: Evans, William Desmond (cardiff Univ, Uk) Opic, Bohumir (charles Univ, Czech Republic) Gogatishvili, Amiran (academy Of Sciences Of The Czech Republic
Название: Weighted inequalities involving гївївѕ -quasiconcave operators
ISBN: 981323962X ISBN-13(EAN): 9789813239623
Издательство: World Scientific Publishing
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Описание:

Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a, b) ∊ R. In this book we analyse the class Qρ(I) of ρ-quasiconcave functions in a complete generality in order to establish results needed for a comprehensive study of weighted inequalities on the class Qρ(I). We illustrate our results on weighted inequalities of Hardy type, on weighted inequalities of Hardy type involving supremum, and on reverse forms of these inequalities.