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math.MG2025
Stepanov theorem for mappings between metric spaces
Iván Caamaño
For Lipschitz maps between a metric measure space and a metric space, combining the ideas of Kirchheim's metric differentiability and Cheeger's differentiable structures leads to a…
math.MG2025
Trace and Extension Theorems for Besov Functions in Doubling Metric Measure Spaces
Iván Caamaño, Josh Kline
In the setting of a non-complete doubling metric measure space , we construct various bounded linear trace and extension operators for homogeneous and inhomogeneous Besov…