Some function spaces on spaces of homogeneous type

Kronz M (2001)

Publication Type: Journal article

Publication year: 2001

Journal

Manuscripta Mathematica Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 106

Pages Range: 219-248

DOI: 10.1007/s002290100205

Abstract

We introduce Campanato, Morrey, BMO and Sobolev-type spaces for mappings from a space of homogeneous type into a complete metric space which possess properties comparable to their classical analogues. In particular we show integral characterizations, the validity of the John-Nirenberg theorem, Poincaré and Sobolev inequalities, Sobolev's embedding theorem and estimates on the pointwise behavior of Sobolev-type mappings.

Authors with CRIS profile

Manfred Kronz Department Mathematik

How to cite

APA:

Kronz, M. (2001). Some function spaces on spaces of homogeneous type. Manuscripta Mathematica, 106, 219-248. https://doi.org/10.1007/s002290100205

MLA:

Kronz, Manfred. "Some function spaces on spaces of homogeneous type." Manuscripta Mathematica 106 (2001): 219-248.

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