Path: TopS2-ThesesMathematics-FMIPA2008

OPERATOR INTEGRAL FRAKSIONAL DAN KETAKSAMAAN OLSEN DI RUANG TAK HOMOGEN

Master Theses from JBPTITBPP / 2017-09-27 14:41:42
Oleh : HERRY PRIBAWANTO SURYAWAN (NIM 20106006), Central Library Institute Technology Bandung
Dibuat : 2008, dengan 6 file

Keyword : Operator integral fraksional, Ukuran growth, Ruang Lebesgue tak homogen, Ruang Morrey tak homogen yang diperumum

Di dalam tesis ini akan dibuktikan keterbatasan operator integral fraksional di ruang Lebesgue tak homogen dan di ruang Morrey tak homogen yang diperumum. Ukuran di ruang tak homogen tidak memenuhi kondisi doubling seperti halnya di ruang homogen, tetapi merupakan ukuran growth. Selanjutnya juga akan dibahas ketaksamaan Olsen di kedua ruang tersebut.

Deskripsi Alternatif :

In this thesis we discuss the boundedness of fractional integral operators on non-homogeneous Lebesgue spaces as well as on generalized non-homogeneous Morrey spaces. Non-homogeneous spaces are spaces that are endowed with a growth measure. We will also prove Olsen's inequalities on both spaces.

Copyrights : Copyright Â(c) 2001 by ITB Central Library. Verbatim copying and distribution of this entire article is permitted by author in any medium, provided this notice is preserved.

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  • Pembimbing : Prof. Dr. Hendra Gunawan, Editor: Rizki Apriyanti

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