Metric Spaces, Theory, Methods and Applications

Dear Colleagues,

Metric space is a basic, important abstract space closest to Euclidean space in modern mathematics. It plays an important role in functional analysis, harmonic analysis, partial differential equations, probability theory, and so on. In particular, more and more scholars began to focus on a class of metric space equipped with a measure, which is a current research hotspots.

The main purpose of this Special Issue is the publication of papers of high quality that gather new advances in the study of harmonic analysis, geometric measure theory, partial differential equations on the metric space are welcome. Moreover, function spaces and operator theory on the metric measure space or on the Lie group,  functional inequalities, capacity, partial differential equations on the sub-Riemannian manifold or Riemannian manifold etc., will be also considered.

We look forward to receiving your contributions.

Prof. Dr. Yu Liu
Prof. Dr. Jizheng Huang
Guest Editors

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• Sobolev space
• BV space
• capacity
• Sobolev inequality
• Besov space
• heat kernel
• perimeter
• integral operators
• partial differential equations
• Hardy space