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master's thesis
Valićne karakterizacije Soboljevljevih prostora
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:073161
Stipčić, Mario
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Stipčić, M. (2015). Valićne karakterizacije Soboljevljevih prostora (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:073161

Stipčić, Mario. "Valićne karakterizacije Soboljevljevih prostora." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:073161

Stipčić, Mario. "Valićne karakterizacije Soboljevljevih prostora." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:073161

Stipčić, M. (2015). 'Valićne karakterizacije Soboljevljevih prostora', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 March 2025, https://urn.nsk.hr/urn:nbn:hr:217:073161

Stipčić M. Valićne karakterizacije Soboljevljevih prostora [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2025 March 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:073161

M. Stipčić, "Valićne karakterizacije Soboljevljevih prostora", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:073161

Metadata
TitleValićne karakterizacije Soboljevljevih prostora
AuthorMario Stipčić
MentorVjekoslav Kovač (mentor)
Committee memberVjekoslav Kovač (predsjednik povjerenstva)
Committee memberBoris Guljaš (član povjerenstva)
Committee memberDamir Bakić (član povjerenstva)
Committee memberZvonko Čerin (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj rad bavi se dokazima karakterizacije nehomogenih i homogenih Soboljevljevih prostora izražene preko koeficijenata funkcije ili općenitije distribucije u prikladnoj valićnoj bazi. Uz uvođenje pojmova valićne baze i Soboljevljevih prostora definiraju se još neki osnovni objekti te navode rezultati i dokazi potrebni za rad. Navodi se iskaz i dokaz karakterizacije Lebesgueovog prostora Lp(Rn). Uz taj rezultat dokazuju se karakterizacije nehomogenog Soboljevljevog prostora... More Wp,s(Rn) izražene preko koeficijenata dva tipa valićnih sistema, a zatim i karakterizacija homogenog Soboljevljevog prostora W˚. Less
Abstract (english)
This thesis deals with the proofs of characterizations of inhomogeneous and homogeneous Sobolev spaces expressed through the coefficients of a function, or in general a distribution, in an appropriate wavelet basis. Along with the introduction of notions of a wavelet basis and Sobolev spaces, some other basic objects are defined and the results and proofs needed in the thesis are given. The statement and the proof of the characterization of the Lebesgue space L^p (\mathbb{R}^n) is... More given. Along with that result the characterizations of inhomogeneous Sobolev space W^{p,s} (\mathbb{R}^n) expressed through coefficients in two types of wavelet systems are established and then also the characterization of the homogeneous Sobolev space \mathring{W}^{p,s} (\mathbb{R}^n) is given. Less
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:073161
Study programmeTitle: Pure Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-02-07 12:31:08
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