Sökning: "Aigerim Kopezhanova"
Hittade 2 avhandlingar innehållade orden Aigerim Kopezhanova.
1. Relations between functions from some Lorentz type spaces and summability of their Fourier coefficients
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
2. Summability of Fourier transforms of functions from Lorentz spaces
Sammanfattning : This PhD thesis is devoted to the study of relations between integrability properties of functions and summability properties of its Fourier coefficients and transforms. The relations are given in terms of generalized weighted Lorentz norms, where the weights have some additional growth properties. LÄS MER