Sökning: "weak boundedness"
Visar resultat 1 - 5 av 6 avhandlingar innehållade orden weak boundedness.
1. Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces
Sammanfattning : This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. LÄS MER
2. Singular Integrals and Convolution Sets
Sammanfattning : .... LÄS MER
3. Boundedness of some linear operators in various function spaces
Sammanfattning : This PhD thesis is devoted to boundedness of some classical linear operators in various function spaces. We prove boundedness of weighted Hardy type operators and the weighted Riesz potential in Morrey—Orlicz spaces. Furthermore, we consider central Morrey—Orlicz spaces and prove boundedness of the Riesz potential in these spaces. LÄS MER
4. Some new results concerning boundedness and compactness for embeddings between spaces with multiweighted derivatives
Sammanfattning : This Doctoral Thesis consists of five chapters, which deal with a new Sobolev type function space called the space with multiweighted derivatives. This space is a generalization of the usual one dimensional Sobolev space. As basis for this space serves some differential operators containing weight functions. LÄS MER
5. Orthogonal Polynomials, Operators and Commutation Relations
Sammanfattning : Orthogonal polynomials, operators and commutation relations appear in many areas of mathematics, physics and engineering where they play a vital role. For instance, orthogonal functions in general are central to the development of Fourier series and wavelets which are essential to signal processing. LÄS MER