A_{p1,q1}^{p2,q2}(G,w) Banach Uzayı Üzerindeki Bazı Yeni Sonuçlar

Year 2021, , 1420 - 1435, 31.07.2021

Nilay Değirmen

https://doi.org/10.29130/dubited.866704

Abstract

G ünimodüler yerel kompakt grup ve p=min{p1,p2} olmak üzere w∈Bp olsun. Bu çalışmada, A_{p1,q1}^{p2,q2}(G,w) uzayının indislerin değişmesi durumunda kapsama özellikleri incelenmiştir. Ayrıca w ağırlığının bazı özel şartları sağlaması durumunda A_{p1,q1}^{p2,q2}(G,w) uzayı için Λ_G^1 (w) ağırlıklı Lorentz uzayında bir yaklaşık birim elde edilmiş ve A_{p1,q1}^{p2,q2}(G,w) uzayının bir Banach sağ Λ_G^1 (w)-modül olduğu ispatlanmıştır.

Keywords

ağırlık, banach sağ A-modül, girişim operatörü, yaklaşık birim

Some New Results on the Banach Space A_{p1,q1}^{p2,q2}(G,w)

Abstract

Let G be a unimodular locally compact group and w∈Bp where p=min{p1,p2} . In this work, in the case of changing indices, the inclusion properties of the space A_{p1,q1}^{p2,q2}(G,w) have been examined. Also, if the weight w provides some special conditions, an approximate identity for the space A_{p1,q1}^{p2,q2}(G,w) has been obtained in the weighted Lorentz space Λ_G^1 (w) and it has been proved that the space A_{p1,q1}^{p2,q2}(G,w) is a Banach right Λ_G^1 (w)-module.

Keywords

weight, Banach right A-module, convolution operator

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