On linear topological properties of on spaces of homogeneous type

Author:
Paul F. X. Müller

Journal:
Trans. Amer. Math. Soc. **317** (1990), 463-484

MSC:
Primary 46E15; Secondary 46B20

DOI:
https://doi.org/10.1090/S0002-9947-1990-0974522-7

MathSciNet review:
974522

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a space of homogeneous type. Let , then implies that contains a complemented copy of . This applies to Hardy spaces associated to weak solutions of uniformly elliptic operators in divergence form. Under smoothness assumptions of the coefficients of the elliptic operators, we obtain that is isomorphic to .

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DOI:
https://doi.org/10.1090/S0002-9947-1990-0974522-7

Article copyright:
© Copyright 1990
American Mathematical Society