In this paper we study Fourier multiplers on radially weighted Bergman Hilbert spaces of analytic functions in the unit disc. We relate the Berezin transform of such a Fourier multipler to a certain expansion formula in terms of the associated shift operator. We also show that the possibility of a specific operator formula of this type considered recently by Louhichi, Olofsson and Wennman implies

The criticism towards agricultural use of sewage sludge tends to occur in ten year cycles; the debate has begun once more. The aim of this study is to evaluate current policy for agricultural use of sewage sludge, by investigating how pollutants within the sludge are affected. Two types of substances; a heavy metal (cadmium) and an organic substance(nonylphenol), are used to illustrate possible st

Många datorintresserade är män, men könsfördelningen varierar inte bara kraftigt mellan olika kulturer, utan också över tid: även i vår del av världen var programmering länge en utpräglat kvinnlig uppgift. Till skillnad från den feminisering som observerats i många yrken har alltså här istället skett en maskulinisering. Undersökningen syftar till att förstå denna maskulinisering i ett historiskt p

A business plan that concerns the start of a photography business in the Lund area of Sweden.

Through its new road safety program the Aleksinac municipality wants to achieve a higher degree of safety in the city than today. These include a safer environment for vulnerable road users. For many years the municipality has neglected pedestrians, consciously or unconsciously, by not investing enough resources and money to improve their situation in traffic. The municipality now wants to correct

In this thesis epitaxial growth of Ga(P1-xSbx) and analysis by electron microscopy are presented. To the authors knowledge Ga(P1-xSbx)has not been grown in the form of nanowires before and the main motivation of this work is to investigate the possibility of overcoming the miscibility gap (1-99%) in nanostructures. The goal of this project is to gain a better understanding of the general behavior

It is well-known that the classical Poisson kernel for the unit disc $\D$ in the complex plane is naturally associated to the Laplacian. In a recent paper Duman has shown that Poisson integrals with respect to the kernel $$ K_2(z)=\frac{1}{2}\frac{(1-\lvert z\rvert^2)^3}{\lvert 1-z\rvert^4}, \quad z\in\D, $$ solve the Dirichlet problem for the unit disc for a certain second order differential oper

It is well-known that the classical Poisson kernel for the unit disc $\D$ in the complex plane is naturally associated to the Laplacian. In this paper we establish a similar relationship between the kernel $$ P_2(z)=\frac{1}{2}\frac{(1-\lvert z\rvert^2)^3}{\lvert 1-z\rvert^4}, \quad z\in\D,$$ and a certain second order differential operator $D_2(z,\partial)$. The analysis of this relationship depe

We show that a closed subspace of a dual Banach space determines boundedness if and only if it is almost norming. This result further ties up recent work on vector-valued analyticity by Arendt and Nikolski to approximation properties in the weak$^*$ topology. We also present direct proofs of two generalizations of Nelson Dunford's classical result that weak analyticity implies strong analytici

In this paper we calculate the limit of the $L^1$-means of certain weighted Poisson kernels in the unit disc and show that this limit is equal to $1$. Our result is in sharp contrast to a recent result by George F\"ulep who has shown that some related limit superiors are strictly greater than $1$. Limits of this type are of interest from the point of view of approximation theory.

Att säkerställa en effektiv konkurrens på den gemensamma marknaden är oerhört viktigt. Förbudet mot missbruk av dominerande ställning är ett av de viktigaste målen för att uppnå just detta och utgör en grundprincip. Bedömningarna i konkurrensrätten är svåra att göra eftersom varje fall är unikt och bedöms individuellt, vilket gör ämnet speciellt intressant. Då jag granskat relevant litteratur och It is crucial to ensure an effective competition on the common market. In order to do this, the prohibition against misuse of dominating position is one of the most important goals and forms a fundamental principel. What makes the subject interesting is that in competionlaw, the judgements are hard to decide as every case is unique and thus decided individually. By examining relevant literature an

This is a bachelor thesis bent on introducing the field of exoplanet research. It primarily includes descriptions of the various detection methods, with some detail into how the methods yield parameter estimates by means of least-squares algorithms. The feasibility of combining state-of-the-art astrometric capabilities of Gaia and radial velocity measurements from ground level is briefly discussed

We prove an operator identity for the shift operator in the scale of standard weighted Bergman spaces in the unit disc. This operator identity is then applied in the context of functional calculus for the shift operator and a characterization of harmonic symbol Bergman space Toeplitz operators is obtained generalizing an earlier result by Louhichi and Olofsson. Duality arguments lead to operator i

A reputation good is a good that you have to consume before you can assess its quality. Therefore, there is asymmetric information in favor of the seller. This good is also characterized by the fact that people often turn to friends and family for recommendations. On the contrary to standard economic theory of competition, an increased number of sellers on a market for reputation goods may lead to

An operator identity satisfied by the shift operator in a class of standard weighted Bergman spaces is studied. We show that subject to a pureness condition this operator identity characterizes the associated Bergman shift operator up to unitary equivalence allowing for a general multiplicity. The analysis of the general case makes contact with the class of $n$-isometries studied by Agler and Stan

The basic theory of semisimple Lie algebras and their representations is studied in detail. In particular it is shown that every irreducible module V (λ) is uniquely determined up to isomorphism by its highest weight λ. Then the problem of decomposing a tensor product of two finite dimensional modules into a direct sum of irreducible modules is considered. It is shown that for λ fixed, the decompo

Med hjälp av tredimensionella datorsimulationer har vi studerat utfallen från kollisioner mellan planeter. Målet med projektet var att utreda beroendet av kollisionsparametrar som till exempel avståndet vid närmaste passage, hastighet och planeternas massor. Vi kom fram till att planeterna kan bli gravitationellt bundna efter kollisionerna på grund av energiförluster som gör att de eventuellt kollUsing three-dimensional smoothed particle hydrodynamics (SPH) simulations, we have studied the outcomes from collisions between Jupiter-like planets. Planet models have been generated from polytropic profiles using a polytropic index of n=1 and each planet is represented by 15,000 particles. The dependency on a range of parameters specifying the point of closest approach, velocity at infinity and