Θεωρία προσέγγισης με νόρμες του Lorentz πάνω σε ομάδες του Lie

Study of the motivated certain problems arising from potential operator Δ-A/Z acting on functions which are defined on nilpotent Lie groups. When the heat Kernel PT(N) is defined on a general nilpotent Lie group the estimate depends on the value of T i.e. is different for small and large T, hence the need to introduce the new Lorentz spaces which are development in this thesis. Several interpolation and convolution theorems are proved and the target is the last convolution theorem which contains the known Hardy-Littlewood-Varopoulos theorem for the potential operator acting on nilpotent Lie groups.

Grantor dc:publisher

National Technical University of Athens (NTUA)

Year dc:date

1990

Authors dc:creator

• Τυχόπουλος, Ευάγγελος
• Tychopoulos, Evangelos

• Ημιομάδα
• Θεωρία προσέγγισης
• Νόρμες του Lorentz
• Ομάδες Lie
• Παρεμβολή
• Συνέλιξης
• Approximation Theory
• Convolution
• Interpolation
• Lorentz norms
• Nilpotent Lie group
• Semi group
• Φυσικές Επιστήμες
• Φυσική
• Natural Sciences
• Physical Sciences

Language dc:language

gre

Identifier

10.12681/eadd/1363

OAI identifier oai:identifier

oai:10442/1363