Dissertation > Excellent graduate degree dissertation topics show

Some Properties of Generalized Orlicz Spaces

Author: JiangZuoZe
Tutor: WangJunMing
School: Harbin University of Science and Technology
Course: Basic mathematics
Keywords: Endpoint k- Endpoint k- strong endpoint λ- nature Consistent λ- nature
CLC: O177
Type: Master's thesis
Year: 2010
Downloads: 34
Quote: 0
Read: Download Dissertation

Abstract


According to various theories and application needs , Orlicz space for a variety of different forms of promotion, Fu p-Amemiya norm Orlicz spaces are Orlicz spaces promotion , denoted by L M, p space . k- endpoint , k- strong endpoint , λ- λ- consistent nature and nature is important Orlicz space geometric concepts , it k- strict convexity, midpoint Locally k- uniform convexity , endpoints, and has strict convexity close contact paper studies L M, p on the k- space endpoints , k- strong endpoint , λ- λ- nature and consistent nature thesis is divided into the following sections . Firstly , L M, p k- space and k- endpoint characterization of strict convexity problem is well known , endowed Luxemburg norm and the Orlicz norm Orlicz spaces k- endpoint is the point of an important class of state properties . p- Amemiya norm is the Luxemburg norm and the Orlicz norm of promotion, this section we present the L M, p space unit sphere that is necessary and sufficient k- endpoint criterion and accordingly get L M, p k- space is strictly convex and sufficient conditions . Secondly , L M, p space k- strong endpoint and midpoint locally uniformly convex k- characterization of the problem . endowed Luxemburg norm and the Orlicz norm Orlicz Spaces k- strong endpoint and midpoint locally uniformly convex k- equivalent characterization has proven that this section we present the L M, p < / sub> space unit sphere point is k- strong and sufficient conditions endpoint , which introduced the L M, p midpoint Locally k- space is a necessary and sufficient condition uniformly convex Finally , L M, p space and consistent nature of λ- λ- nature endowed Luxemburg norm and the Orlicz norm Orlicz spaces and consistent nature of λ- λ- nature , many scholars have done a thorough research , and got a lot of good results in this section, we have come to L M, p space with λ- nature , and gives the L M, p space nature has a consistent λ- sufficient and necessary conditions .

Related Dissertations

  1. Orlicz-Lorentz spaces λ φ- variation on the nature and the nature of the moduli space,O177
  2. Silk-Screen Quality Surveillance System Base on Image Processing Technology,TP391.41
  3. Research on Text-independence of Open-set Speaker Recognition,TN912.34
  4. Vehicle Classification and Counting System Based on VC++ and MATLAB,TP29-AC
  5. The front end of the speech signal processing technology research,TN912.3
  6. The Study of Car Speech Recognition Based on the Specific Human and Small Vocabulary,TN912.34
  7. Forgery Detection of Digital Audio,TP391.42
  8. Research on Transformer On-Load Tap Changer’s Vibration Signal Separation,TM41
  9. Research on Feature Extraction and Recognition Algorithm of EOG Signal,TP391.41
  10. Research and Implementation of Chinese continuous speech recognition system,TN912.34
  11. Research of Speech Recognition Used in the Appliance Control,TN912.34
  12. Research on Endpoint Prediction Model of Basic Oxygen Furnace Steelmaking Based on Relevance Vector Machine,O242.1
  13. DTW Based Automatic Passenger Counting Method Research Using Infrared Sensors,U495
  14. The Improve in End Point Control Model of Converter Process Based on Artificial Neural Network,TF713
  15. Toxicity Effects of Chlorobenzenes and Benzidines on Zebrafish Embryos,X503.225
  16. Research on Arithmetic of Speech Recognition Based on Speech Control Vehicle,TP391.42
  17. Design and Implementation on Text-Dependent Speaker Recognition System for Short Speech,TN912.34
  18. A Study on Speech Endpoint Detection in High Noisy Environment,TN912.3
  19. Research on Music Retrieval Based on Content,TP391.3
  20. The Research and Implementation of Real-time Speaker Verification System Based on Remote Voice Communication,TN912.34

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
© 2012 www.DissertationTopic.Net  Mobile