Titlebook: An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem; Luca Capogna,Scott D. Pauls,Donatella Danielli,Jer B

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Lahrpostsendungen im Wechselverkehrdeas and outlines of the proofs of various partial results and sketch some further techniques and methods which may lead to a solution, in order to guide the reader through the literature and to give a sense of the larger ideas that are in play.

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https://doi.org/10.1007/978-3-642-45719-7r analytic/geometric inequalities in the Heisenberg group and the Grushin plane. These include the .-Sobolev inequality (9.1) in the case . = 2, the Trudinger inequality (9.14), which serves as a natural substitute for (9.1) in the limiting case . = 4, and the Hardy inequality (9.24), a weighted inequality of Sobolev type on the domain ℍ {.}.

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