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Order Comparisons on Canonical Isomorphisms

Published online by Cambridge University Press:  22 January 2016

Mitsuru Nakai
Mitsuru Nakai*
Affiliation:
Nagoya University
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Consider a nonnegative Hölder continuous 2-form P(z)dxdy (z = x + iy) on a connected Riemann surface R. We denote by P(R) the linear space of solutions u of the equation Δu = Pu on R and by PX(R) the subspace of P(R) consisting of those u with a certain boundedness property X. We also use the standard notations H(R) and HX(R) for P(R) and PX(R) with P ≡ 0.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 50 , June 1973, pp. 67 - 87
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

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