Sökning: "Muckenhoupt weight"

Hittade 3 uppsatser innehållade orden Muckenhoupt weight.

  1. 1. Exponent Sets and Muckenhoupt Ap-weights

    Kandidat-uppsats, Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

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

    Sammanfattning : 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. LÄS MER

  3. 2. Positivity of Heat Kernels

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Manne Milton; [2019]
    Nyckelord :;

    Sammanfattning : Partial di˙erential equations are a well-studied field of mathematics, and in this thesis we attempt to use some of the newer methods, including path integrals (also known as Feynman path integrals) and the so-called geometric approach, to find conditions for the heat kernel of a di˙erential operator on a certain form to be zero. We also derive a maximum principle, more general than the classical one, that allows for degenerate di˙erential operators, where the degeneracy is controlled by a Muckenhoupt weight. LÄS MER

  4. 3. Capacity estimates and Poincaré inequalities for the weighted bow-tie

    Master-uppsats, Linköpings universitet/Matematiska institutionen; Linköpings universitet/Tekniska fakulteten

    Författare :Andreas Christensen; [2017]
    Nyckelord :Bow-tie; Capacity; Metric space; Muckenhoupt weight; Poincaré inequality; Upper gradient; Weight function;

    Sammanfattning : We give a short introduction to various concepts related to the theory of p-harmonic functions on Rn, and some modern generalizations of these concepts to general metric spaces. The article Björn-Björn-Lehrbäck [6] serves as the starting point of our discussion. LÄS MER