Unit:
Κατεύθυνση Εφαρμοσμένα ΜαθηματικάLibrary of the School of Science
Supervisors info:
Μπαρμπάτης Γεράσιμος, Καθηγητής, Τμήμα Μαθηματικών ΕΚΠΑ,
Απόστολος Γιαννόπουλος Καθηγητής Τμήμα Μαθηματικών ΕΚΠΑ,
Ευαγγελία Κόττα - Αθανασιάδου, Αναπληρώτρια Καθηγήτρια Τμήμα Μαθηματικών ΕΚΠΑ
Original Title:
Ανισότητες Hardy με πολλαπλές αποστάσεις
Translated title:
Hardy inequalities with multiple distances
Summary:
n this work we study improvements of Hardy’s inequality that involve various distance functions. Working in the upper half-space R^n_+, we obtain Hardy type inequalities
that involve constant multiples of the inverse square of the distance to linear submanifolds of different codimensions of the boundary R^n_+. Actually, we are able to give a complete description of the structure of this kind of improved Hardy inequalities. In particular, we have a lot of freedom in choosing these constants and we will show that all our configurations of constants are, in a natural sense, optimal.
Main subject category:
Science
Keywords:
Hardy inequalities, upper halfspace
