Volume 27, Issue 1
BMO Spaces Associated to Generalized Parabolic Sections
10.1007/s10496-011-0001-2

Anal. Theory Appl., 27 (2011), pp. 1-9.

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• Abstract

Parabolic sections were introduced by Huang[1] to study the parabolic Monge-Ampere equation. In this note, we introduce the generalized parabolic sections P and define$BMO^q_P$ spaces related to these sections. We then establish the John-Nirenberg type inequalityand verify that all $BMO^q_P$ are equivalent for $q \geq 1.$

• History

Published online: 2011-01

• Keywords