Sökning: "quasi-norm"

Visar resultat 1 - 5 av 6 avhandlingar innehållade ordet quasi-norm.

  1. 1. Singular Integrals and Convolution Sets

    Författare :Reimond Emanuelsson; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Weak L^1; quasi-norm; Convolution set; BMO; Singular Integral Operator; Standard kernel; Calderón-Zygmund decomposition; weak boundedness property; the T1-Theorem.; Weak L^1;

    Sammanfattning : .... LÄS MER

  3. 2. Some new results concerning Lorentz sequence spaces and Schur multipliers : characterization of some new Banach spaces of infinite matrices

    Författare :Anca-Nicoleta Marcoci; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This Licentiate thesis consists of an introduction and three papers, which deal with some new spaces of infinite matrices and Lorentz sequence spaces.In the introduction we give an overview of the area that serves as a frame for the rest of the thesis. In particular, a short description of Schur multipliers is given. LÄS MER

  4. 3. Some new results concerning Banach spaces of infinite matrices and Lorentz sequence spaces

    Författare :Anca-Nicoleta Marcoci; Vladimir Stepanov; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Mathematics; Matematik;

    Sammanfattning : This PhD thesis consists of an introduction and five papers, Which deal with some new spaces of infinite matrices and Lorentz sequence spaces.In the introduction we give an overview of the area that serves as a frame for the rest of the thesis. In particular, a short description of Schur multipliers is given. LÄS MER

  5. 4. Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces

    Författare :Lukáš Malý; Anders Björn; Jana Björn; Tomas Sjödin; Andrea Cianchi; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Newtonian space; Sobolev-type space; metric measure space; upper gradient; Sobolev capacity; Banach function lattice; quasi-normed space; rearrangement-invariant space; maximal operator; Lipschitz function; regularization; weak boundedness; density of Lipschitz functions; quasi-continuity; continuity; doubling measure; Poincaré inequality;

    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

  7. 5. Relations between functions from some Lorentz type spaces and summability of their Fourier coefficients

    Författare :Aigerim Kopezhanova; Natasha Samko; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Lorentz spaces; Fourier series; Inequalities; Mathematics; Matematik; Mathematics; Matematik;

    Sammanfattning : This Licentiate Thesis is devoted to the study of summability of the Fourier coefficients for functions from some Lorentz type spaces and contains three papers (papers A - C) together with an introduction, which put these papers into a general frame.Let $\Lambda_p(\omega),\;\; p>0,$ denote the Lorentz spaces equipped with the (quasi) norm$$\|f\|_{\Lambda_p(\omega)}:=\left(\int_0^1\left(f^*(t)\omega(t)\right)^p\frac{dt}{t}\right)^{\frac1p}$$for a function $f$ on [0,1] and with $\omega$ positive and equipped with some additional growth properties. LÄS MER