Related papers: Potpourri, 9

These notes, associated with a topics course, are largely concerned with Hausdorff measures and a class of metric spaces which behave like Cantor sets.

These notes deal with metric spaces, Hausdorff measures and dimensions, Lipschitz mappings, and related topics. The reader is assumed to have some familiarity with basic analysis, which is also reviewed.

These notes, connected to a "potpourri" topics course currently underway, are concerned with some interrelated themes of polynomials, functions on the unit circle or interval, and norms.

These notes, associated with a topics course, are concerned with some general methods related to norms and linear transformations.

These informal notes deal with some topics related to analysis on metric spaces.

These notes deal with some topics related to limits of norms, functions on the unit circle, and so on.

These informal notes briefly discuss some basic topics involving Lipschitz functions, connectedness, and Hausdorff content in particular.

These notes, connected to a "potpourri" topics class currently underway, discuss some basic topics in analysis and connections with other areas of mathematics.

These notes, associated with a topics course, deal with some special cases involving norms and linear transformations.

These notes are connected to a "potpourri" topics class and deal with some basic issues involving norms and convexity.

These notes, associated with a topics course, deal with some special features of summability and supremum norms which are often useful.

These notes are connected to a "potpourri" topics class and deal with some special cases of norms of various objects which arise in classical analysis.

Basic properties of Hausdorff content, dimension, and measure of subsets of metric spaces are discussed, especially in connection with Lipschitz mappings and topological dimension.

Here we consider a few topics related to Lipschitz classes for functions and curves in metric spaces.

These are some basic notes concerning Holder and Lipschitz classes on metric spaces.

In this short note, we show that, in any given metric space, every Lipschitz open-map image of every subset of a given metric space whose boundary is Hausdorff-null is Hausdorff-measurable with respect to the same dimension. The main…

This short note contains an elementary observation in response to the recent posting arXiv:1707.06593v1, which studies the Lipschitz extension modulus to $n$ additional points. We bound this modulus in terms of the well-studied Lipschitz…

Additional integral inequalities are obtained for integrals of the differences of subharmonic functions by Borel measures on balls in a multidimensional Euclidean space. These integrals are still estimated from above through the Nevanlinna…

Here Lipschitz conditions are used as a primary tool, for studying curves in metric spaces in particular.

The standard arithmetic measures of center, the mean and median, have natural topological counterparts which have been widely used in continuum theory. In the context of metric spaces it is natural to consider the Lipschitz continuous…