Compact Embedding Theorems for The Space of Functions with Wavelet Transform in Amalgam Spaces

Year 2021, Issue: 28, 568 - 572, 30.11.2021

Öznur Kulak

https://doi.org/10.31590/ejosat.1009444

Cited By: 1

Abstract

This paper is motivated to define the space 〖 A〗_s (W)_(ω,ϑ)^(p,q,r) (R) using the wavelet transform, and is also motivated to consider the inclusion and compact embedding theorems in this space.

Keywords

Wavelet transform, Dilation operator, Translation operator, Compact embedding, Inclusion.

Dalgacık Dönüşümleri Amalgam Uzaylarında Olan Fonksiyon Uzayları için Kompakt Gömülme Teoremleri

Abstract

Bu çalışma dalgacık dönüşümü kullanarak 〖 A〗_s (W)_(ω,ϑ)^(p,q,r) (R) uzayını tanımlamak ve ayrıca bu uzayda kapsama, kompakt gömülme teoremlerini incelemek için motive edilmiştir.

Keywords

Açılma operatörü, Öteleme operatörü, Kompakt gömülme, Kapsama., Dalgacık dönüşümü

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