소장자료
LDR | 03610cam a2200433 a 4500 | ||
001 | 0093765888▲ | ||
003 | OCoLC▲ | ||
005 | 20180519230208▲ | ||
008 | 160624s2016 sz b 001 0 eng c▲ | ||
010 | ▼z2016940057▲ | ||
020 | ▼a9783319210148 (v.1 ; print)▲ | ||
020 | ▼a3319210149 (v.1 ; print)▲ | ||
020 | ▼z9783319210155 (v.1 ; electronic bk.)▲ | ||
020 | ▼z3319210157 (v.1 ; electronic bk.)▲ | ||
020 | ▼a9783319210179 (v.2 ; print)▲ | ||
020 | ▼a3319210173 (v.2 ; print)▲ | ||
020 | ▼z9783319210186 (v.2 ; electronic bk.)▲ | ||
020 | ▼z3319210181 (v.2 ; electronic bk.)▲ | ||
024 | 3 | ▼a9783319210148▲ | |
035 | ▼a(OCoLC)952323622▼z(OCoLC)910412357▼z(OCoLC)910536014▲ | ||
040 | ▼aOHX▼beng▼cOHX▼dOCLCO▼dNHM▼dYDXCP▼dBTCTA▼dBDX▲ | ||
050 | 4 | ▼aQA329.6▼b.I58 2016▲ | |
072 | 7 | ▼aQA▼2lcco▲ | |
082 | 0 | 4 | ▼a515.723▼223▲ |
090 | ▼a515.723▼bI61k ▲ | ||
245 | 0 | 0 | ▼aIntegral operators in non-standard function spaces /▼cVakhtang Kokilashvili...[et al.]▲ |
260 | ▼aSwitzerland :▼bBirkhäuser,▼c[2016]▲ | ||
300 | ▼a2 v. ;▼c25 cm.▲ | ||
490 | 1 | ▼aOperator theory: Advances and applications,▼x0255-0156 ;▼vvolume 248-249▲ | |
504 | ▼aIncludes bibliographical references and indexes.▲ | ||
505 | 0 | ▼aVol. 1. 1. Hardy-type Operators in Variable Exponent Lebesgue Spaces -- 2. Oscillating Weights -- 3. Kernel Integral Operators -- 4. Two-weight Estimates -- 5. One-sided Operators -- 6. Two-weight Inequalities for Fractional Maximal Functions -- 7. Description of the Range of Potentials -- 8 Embedding into Hölder Spaces -- 9. More on Compactness -- 10. Applications to Singular Integral Equations -- vol. 2. Basic Definitions and Notations from Volume 1 -- part 1. Hölder Spaces of Variable Order. 11. Variable exponent Hölder Spaces -- part 2. Variable Exponent Morrey-Campanato and Herz Spaces. 12. Morrey Type Spaces; Constant Exponents ; 13. Morrey, Campanato and Herz Spaces with Variable Exponents ; 14. Singular Integrals and Potentials in Grand Lebesgue Spaces ; 15. Grand Lebesgue Spaces on Sets of Infinite Measure ; 16. Fractional and Singular Integrals in Grand Morrey Spaces ; 17. Multiple Variable Operators on the Cone of Decreasing Functions -- Appendix: Grand Bochner Spaces.▲ | |
520 | ▼a"This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students."--Provided by publisher.▲ | ||
650 | 0 | ▼aIntegral operators.▲ | |
650 | 0 | ▼aAlgebraic spaces.▲ | |
700 | 1 | ▼aKokilashvili, V. M.▼q(Vakhtang Mikhaĭlovich).▲ | |
740 | 0 | 2 | ▼aVariable exponent Lebesgue and Amalgam spaces.▲ |
740 | 0 | 2 | ▼aVariable exponent Hölder, Morrey--Campanato and grand spaces.▲ |
830 | 0 | ▼aOperator theory, advances and applications ;▼vv. 249.▲ | |
999 | ▼c김정이▲ |
Integral operators in non-standard function spaces
자료유형
국외단행본
서명/책임사항
Integral operators in non-standard function spaces / Vakhtang Kokilashvili...[et al.]
부출서명
Variable exponent Lebesgue and Amalgam spaces.
Variable exponent Hölder, Morrey--Campanato and grand spaces.
Variable exponent Hölder, Morrey--Campanato and grand spaces.
개인저자
Kokilashvili, V. M. (Vakhtang Mikhaĭlovich).
발행사항
Switzerland : Birkhäuser , [2016]
형태사항
2 v. ; 25 cm.
총서사항
Operator theory: Advances and applications , 0255-0156 ; volume 248-249
Operator theory, advances and applications ; v. 249.
Operator theory, advances and applications ; v. 249.
서지주기
Includes bibliographical references and indexes.
내용주기
Vol. 1. 1. Hardy-type Operators in Variable Exponent Lebesgue Spaces -- 2. Oscillating Weights -- 3. Kernel Integral Operators -- 4. Two-weight Estimates -- 5. One-sided Operators -- 6. Two-weight Inequalities for Fractional Maximal Functions -- 7. Description of the Range of Potentials -- 8 Embedding into Hölder Spaces -- 9. More on Compactness -- 10. Applications to Singular Integral Equations -- vol. 2. Basic Definitions and Notations from Volume 1 -- part 1. Hölder Spaces of Variable Order. 11. Variable exponent Hölder Spaces -- part 2. Variable Exponent Morrey-Campanato and Herz Spaces. 12. Morrey Type Spaces; Constant Exponents ; 13. Morrey, Campanato and Herz Spaces with Variable Exponents ; 14. Singular Integrals and Potentials in Grand Lebesgue Spaces ; 15. Grand Lebesgue Spaces on Sets of Infinite Measure ; 16. Fractional and Singular Integrals in Grand Morrey Spaces ; 17. Multiple Variable Operators on the Cone of Decreasing Functions -- Appendix: Grand Bochner Spaces.
요약주기
"This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students."--Provided by publisher.
ISBN
9783319210148 (v.1 ; print) 3319210149 (v.1 ; print) 9783319210179 (v.2 ; print) 3319210173 (v.2 ; print)
청구기호
515.723 I61k
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