$L^p-L^q$ estimates for non-local heat and wave type equations on locally compact groups

Affiliations

Gómez Cobos, Santiago: Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, B 9000 Ghent, Belgium
Restrepo, Joel E.: ORCiD; Department of Mathematics, Cinvestav IPN, Mexico city, Mexico; Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, B 9000 Ghent, Belgium
Ruzhansky, Michael: ORCiD; Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Krijgslaan 281, Building S8, B 9000 Ghent, Belgium; School of Mathematical Sciences, Queen Mary University of London, United Kingdom

Abstract

We prove the $L^p-L^q$ $(1