$θ$-Lebesgue spaces
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909073063018496 |
|---|---|
| author | Choudhury, Shouvik Datta |
| author_facet | Choudhury, Shouvik Datta |
| contents | Traditional Lp spaces are fundamental in functional analysis, demarcated by the relationship $1/p + 1/q = 1$. This research pioneers the concept of $θ$-Lebesgue space, stemming from a simultaneous weakening of both the classical $L_p$ relation and its $θ$-variant, $1/(θ(p)) + 1/(θ(q)) = 1$. This conceptual shift addresses a gap in existing mathematical frameworks, aiming to create a space that encompasses a broader range of mathematical purpose. The primary objective is to rigorously demarcate the $θ$-Lebesgue space within this new context, explore its foundational properties, and articulate its theoretical significance in the realm of functional analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07295 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $θ$-Lebesgue spaces Choudhury, Shouvik Datta Functional Analysis Traditional Lp spaces are fundamental in functional analysis, demarcated by the relationship $1/p + 1/q = 1$. This research pioneers the concept of $θ$-Lebesgue space, stemming from a simultaneous weakening of both the classical $L_p$ relation and its $θ$-variant, $1/(θ(p)) + 1/(θ(q)) = 1$. This conceptual shift addresses a gap in existing mathematical frameworks, aiming to create a space that encompasses a broader range of mathematical purpose. The primary objective is to rigorously demarcate the $θ$-Lebesgue space within this new context, explore its foundational properties, and articulate its theoretical significance in the realm of functional analysis. |
| title | $θ$-Lebesgue spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2401.07295 |