Study on interpolation inequalities on fractional Sobolev-Lorentz spaces
- 주제(키워드) Gagliardo-Nirenberg inequalities , Fourier transform , Lorentz spaces , Fractional Sobolev spaces
- 발행기관 서강대학교 일반대학원
- 지도교수 김현석
- 발행년도 2021
- 학위수여년월 2021. 2
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- UCI I804:11029-000000065671
- 본문언어 영어
- 저작권 서강대학교 논문은 저작권보호를 받습니다.
초록/요약
To solve a differential equation, interpolation and embedding theorems are useful. Some differential equations are difficult to apply interpolation and embedding theorem on strong condition. If conditions for interpolation and embedding theorem can be weaken, then we easily use the theorems to solve differential equations. In this thesis, we generalize Gagliardo- Nirenberg interpolation inequalities and Sobolev embedding theorems in Lorentz spaces.
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