The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality

The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality

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Introduction Partial commutative monoids Continuous dimension scales Espaliers Classes of espaliers Bibliography Index

The Complete Dimension Theory of Partially Ordered Systems with Equivalence and Orthogonality

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Non-Doubling Ahlfors Measures, Perimeter Measures, and the Characterization of the Trace Spaces of Sobolev Functions in Carnot-Caratheodory Spaces

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The object of the present study is to characterize the traces of the Sobolev functions in a sub-Riemannian, or Carnot-Caratheodory space. Such traces are define

Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls

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Contents: A tree structure for the unit ball $mathbb B? n$ in $mathbb C'n$; Carleson measures; Pointwise multipliers; Interpolating sequences; An almost invaria

Weil-Petersson Metric on the Universal Teichmuller Space

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In this memoir, we prove that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component