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## Interpolation between weighted Lorentz spaces with respect to a vector measure

In this paper, we consider weighted Lorentz spaces with respect to a vector measure and derive some of their properties. We describe the interpolation with a parameter function of these spaces. As an application, we get a type of the generalization of Steffensen's inequality for $L^p(\|m\|)$ and interpolation spaces for couples of Lorentz-Zygmund spaces.
Lorentz spaces, interpolation, vector measures, Steffensen's inequality
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-1890-0280Author: Maryam MOHSENİPOUR Institution: Hakim Sabzevari UniversityCountry: Iran Orcid: 0000-0002-3815-3681Author: Ghadir SADEGHİ (Primary Author)Institution: Hakim Sabzevari UniversityCountry: Iran Publication Date : December 8, 2019
 Bibtex @research article { hujms652608, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, pages = {1590 - 1600}, doi = {10.15672/hujms.652608}, title = {Interpolation between weighted Lorentz spaces with respect to a vector measure}, key = {cite}, author = {MOHSENİPOUR, Maryam and SADEGHİ, Ghadir} } APA MOHSENİPOUR, M , SADEGHİ, G . (2019). Interpolation between weighted Lorentz spaces with respect to a vector measure. Hacettepe Journal of Mathematics and Statistics , 48 (6) , 1590-1600 . DOI: 10.15672/hujms.652608 MLA MOHSENİPOUR, M , SADEGHİ, G . "Interpolation between weighted Lorentz spaces with respect to a vector measure". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1590-1600 Chicago MOHSENİPOUR, M , SADEGHİ, G . "Interpolation between weighted Lorentz spaces with respect to a vector measure". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1590-1600 RIS TY - JOUR T1 - Interpolation between weighted Lorentz spaces with respect to a vector measure AU - Maryam MOHSENİPOUR , Ghadir SADEGHİ Y1 - 2019 PY - 2019 N1 - doi: 10.15672/hujms.652608 DO - 10.15672/hujms.652608 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1590 EP - 1600 VL - 48 IS - 6 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.652608 UR - https://doi.org/10.15672/hujms.652608 Y2 - 2015 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Interpolation between weighted Lorentz spaces with respect to a vector measure %A Maryam MOHSENİPOUR , Ghadir SADEGHİ %T Interpolation between weighted Lorentz spaces with respect to a vector measure %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 6 %R doi: 10.15672/hujms.652608 %U 10.15672/hujms.652608 ISNAD MOHSENİPOUR, Maryam , SADEGHİ, Ghadir . "Interpolation between weighted Lorentz spaces with respect to a vector measure". Hacettepe Journal of Mathematics and Statistics 48 / 6 (December 2019): 1590-1600 . https://doi.org/10.15672/hujms.652608 AMA MOHSENİPOUR M , SADEGHİ G . Interpolation between weighted Lorentz spaces with respect to a vector measure. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1590-1600. Vancouver MOHSENİPOUR M , SADEGHİ G . Interpolation between weighted Lorentz spaces with respect to a vector measure. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1600-1590.