Vector valued measures of bounded mean oscillation
Copyright policy )Vector valued measures of bounded mean oscillation
The author considers the \(H^ 1\)-BMO duality for vector-valued functions in the more general setting of spaces of homogeneous type. A space of homogeneous type \(\Omega\) is a topological space endowed with a Borel measure \(m\) defined on the Borel subsets \(\Sigma\) of \(\Omega\) and a quasi-distance \(d\) such that the open balls centered at \(x\) form a basis of the neighbourhoods of the point \(x\) and \(m(B_ r(x))\leq Am(B_{r/2}(x))\), (\(r>0\), \(x\in\Omega\)). Let \(1\leq q0\). The main result of the paper reads: for \(1
contably additive measures, Spaces of vector- and operator-valued functions, \(H^ 1\)-BMO duality for vector-valued functions, spaces of homogeneous type, Vector-valued measures and integration, space of vector valued measures of bounded mean oscillation
contably additive measures, Spaces of vector- and operator-valued functions, \(H^ 1\)-BMO duality for vector-valued functions, spaces of homogeneous type, Vector-valued measures and integration, space of vector valued measures of bounded mean oscillation
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