@article{article_1030138, title={$W_w (IR)$ uzayının bazı özellikleri}, journal={Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, volume={24}, pages={738–749}, year={2022}, DOI={10.25092/baunfbed.1030138}, author={Doğan, Mevlüde and Gürkanlı, A. Turan}, keywords={Soyut segal cebiri, ağırlık fonksiyonu, banach fonksiyon uzayı.}, abstract={<span class="MathJax_Preview" style="color:inherit;"> </span> <span class="mjx-chtml MathJax_CHTML" style="font-size:123%;"> <span class="mjx-math"> <span class="mjx-mrow"> <span class="mjx-msubsup"> <span class="mjx-base" style="margin-right:-.104em;"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.316em;padding-right:.104em;">W </span> </span> </span> <span class="mjx-sup" style="font-size:70.7%;vertical-align:.513em;padding-left:.262em;padding-right:.071em;"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.191em;padding-bottom:.441em;">p </span> </span> </span> </span> <span class="mjx-mo"> <span class="mjx-char MJXc-TeX-main-R" style="padding-top:.441em;padding-bottom:.566em;">( </span> </span> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.253em;padding-right:.064em;">I </span> </span> <span class="mjx-msubsup"> <span class="mjx-base"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.316em;">R </span> </span> </span> <span class="mjx-sup" style="font-size:70.7%;vertical-align:.513em;padding-left:0px;padding-right:.071em;"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.191em;padding-bottom:.316em;">n </span> </span> </span> </span> <span class="mjx-mo"> <span class="mjx-char MJXc-TeX-main-R" style="padding-top:.441em;padding-bottom:.566em;">) </span> </span> </span> </span> <span class="MJX_Assistive_MathML">Wp(IRn) </span> </span> uzayı ve bu uzaya ait bazı özellikler Krogstad [1] tarafından ispat edilmiştir. Bu çalışmada, Krogstad tarafından tanımlanan bu uzayın <span class="MathJax_Preview" style="color:inherit;"> </span> <span class="mjx-chtml MathJax_CHTML" style="font-size:123%;"> <span class="mjx-math"> <span class="mjx-mrow"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.191em;padding-bottom:.441em;">p </span> </span> <span class="mjx-mo MJXc-space3"> <span class="mjx-char MJXc-TeX-main-R" style="padding-top:.066em;padding-bottom:.316em;">= </span> </span> <span class="mjx-mn MJXc-space3"> <span class="mjx-char MJXc-TeX-main-R" style="padding-top:.378em;padding-bottom:.316em;">1 </span> </span> </span> </span> <span class="MJX_Assistive_MathML">p=1 </span> </span> için özel durumu olan <span class="MathJax_Preview" style="color:inherit;"> </span> <span class="mjx-chtml MathJax_CHTML" style="font-size:123%;"> <span class="mjx-math"> <span class="mjx-mrow"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.316em;padding-right:.104em;">W </span> </span> <span class="mjx-mo"> <span class="mjx-char MJXc-TeX-main-R" style="padding-top:.441em;padding-bottom:.566em;">( </span> </span> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.253em;padding-right:.064em;">I </span> </span> <span class="mjx-msubsup"> <span class="mjx-base"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.316em;">R </span> </span> </span> <span class="mjx-sup" style="font-size:70.7%;vertical-align:.513em;padding-left:0px;padding-right:.071em;"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.191em;padding-bottom:.316em;">n </span> </span> </span> </span> <span class="mjx-mo"> <span class="mjx-char MJXc-TeX-main-R" style="padding-top:.441em;padding-bottom:.566em;">) </span> </span> </span> </span> <span class="MJX_Assistive_MathML">W(IRn) </span> </span> uzayı ele alındı. <span class="MathJax_Preview" style="color:inherit;"> </span> <span class="mjx-chtml MathJax_CHTML" style="font-size:123%;"> <span class="mjx-math"> <span class="mjx-mrow"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.191em;padding-bottom:.316em;">w </span> </span> </span> </span> <span class="MJX_Assistive_MathML">w </span> </span>, <span class="MathJax_Preview" style="color:inherit;"> </span> <span class="mjx-chtml MathJax_CHTML" style="font-size:123%;"> <span class="mjx-math"> <span class="mjx-mrow"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.253em;padding-right:.064em;">I </span> </span> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.316em;">R </span> </span> </span> </span> <span class="MJX_Assistive_MathML">IR </span> </span> reel sayılar kümesinde Beurling-Domar koşullarını sağlayan ağırlık fonksiyonu olmak üzere bir <span class="MathJax_Preview" style="color:inherit;"> </span> <span class="mjx-chtml MathJax_CHTML" style="font-size:123%;"> <span class="mjx-math"> <span class="mjx-mrow"> <span class="mjx-msubsup"> <span class="mjx-base" style="margin-right:-.104em;"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.441em;padding-bottom:.316em;padding-right:.104em;">W </span> </span> </span> <span class="mjx-sub" style="font-size:70.7%;vertical-ali}, number={2}, publisher={Balıkesir Üniversitesi}