Box dimension, oscillation and smoothness in function spaces | Zendy

Abel Carvalho | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Box dimension, oscillation and smoothness in function spaces

Author(s) -

Abel Carvalho

Publication year - 2005

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2005/405979

Subject(s) - mathematics , smoothness , dimension (graph theory) , oscillation (cell signaling) , pure mathematics , dimension function , mathematical analysis , function (biology) , hausdorff dimension , genetics , evolutionary biology , biology

The aim of this paper is twofold. First we relate upper and lower box dimensions with oscillation spaces, and we develop embeddings or inclusions between oscillation spaces and Besov spaces. Secondly, given a point in the (1p, s)-plane we determine maximal and minimal values for the upper box dimension (also the maximal value for lower box dimension) for the graphs of continuous real functions with a compact support, represented by this point

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research