Dorronsoro's theorem and a small generalization

TL;DR

This paper presents a straightforward proof of Dorronsoro's theorem and extends its ideas to establish an equivalence related to embeddings of vector fields, offering new insights into these mathematical concepts.

Contribution

The paper provides a simplified proof of Dorronsoro's theorem and introduces a small generalization for embeddings of vector fields, advancing theoretical understanding.

Findings

Simplified proof of Dorronsoro's theorem

Establishment of an equivalence for vector field embeddings

Extension of existing mathematical results

Abstract

We give a simple proof of Dorronsoro's theorem and use similar ideas to establish an equivalence for embeddings of vector fields.