A_{p1,q1}^{p2,q2}(G,w) Uzayı ve Bazı Topolojik Özellikleri Üzerine

Year 2021, Volume: 11 Issue: 2, 1468 - 1480, 01.06.2021

Nilay Değirmen , İbrahim Değirmen

https://doi.org/10.21597/jist.804438

Cited By: 2

Abstract

ünimodüler yerel kompakt grup ve olmak üzere olsun. Bu makalede, infimum normlu uzayının bazı önemli topolojik özellikleri incelenmiştir. İlk olarak, uzayının bir Banach uzayı olduğu ve ötelemeler altında invaryant olduğu ispatlanmıştır. Ayrıca uzayından uzayına tanımlı dönüşümünün lineer ve sınırlı olduğu gösterilmiştir.

Keywords

Projektif tensör çarpımı, girişim operatörü, ağırlıklı Lorentz uzayı, Banach uzay

On the Space A_{p1,q1}^{p2,q2}(G,w) and Some of Its Topological Properties

Abstract

Let be a unimodular locally compact group and where . In this paper, we examine some crucial topological properties of the space endowed with the infimum norm . We first prove that becomes a Banach space and invariant under translation. We also show that the mapping is linear and bounded from to .

Keywords

Projective tensor product, convolution operator, weighted Lorentz space, Banach space

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