Essays about: "exponent sets"

Found 2 essays containing the words exponent sets.

1. 1. Admissibility and Ap classes for radial weights in Rn

   University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

   Author : Simon Bladh; [2023]
   Keywords : Doubling measure; exponent sets; p-admissible weight; Ap-weight; p-Poincaré- inequality; radial weight;

   Abstract : In this thesis we study radial weights on Rn. We study two radial weights with different exponent sets. We show that they are both 1-admissible by utilizing a previously shown sufficient condition, for radial weights to be 1-admissible, together with some results connecting exponent sets and Ap weights. READ MORE

3. 2. Exponent Sets and Muckenhoupt Ap-weights

   University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

   Author : Jakob Jonsson; [2022]
   Keywords : Capacity; doubling measure; exponent set; integral; measure; Muckenhoupt Ap-weight; p-admissible weight; p-Poincaré-inequality; radial weight; weighted Rn;

   Abstract : In the study of the weighted p-Laplace equation, it is often important to acquire good estimates of capacities. One useful tool for finding such estimates in metric spaces is exponent sets, which are sets describing the local dimensionality of the measure associated with the space. READ MORE