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Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius

Geometric harmonic analysis IV. Boundary layer potentials in uniformly rectifiable domains, and applications to complex analysis. (English) Zbl 1526.42001

Developments in Mathematics 75. Cham: Springer (ISBN 978-3-031-29178-4/hbk; 978-3-031-29181-4/pbk; 978-3-031-29179-1/ebook). xix, 992 p. (2023).

Reviewer: Mohammed El Aïdi (Bogotá)

MSC: 42-02 42B20 46E35 35J15 42B35 32B99

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Seo, Ihyeok; Koh, Youngwoo

Strichartz and smoothing estimates in weighted \(L^2\) spaces and their applications. (English) Zbl 1484.35098

Indiana Univ. Math. J. 70, No. 3, 949-983 (2021).

Reviewer: Chengbo Wang (Hangzhou)

MSC: 35B45 42B35 35A01 35Q55 35L05

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Sun, Jingsong; Xie, Guangheng; Yang, Dachun

Localized John-Nirenberg-Campanato spaces. (English) Zbl 1456.42029

Anal. Math. Phys. 11, No. 1, Paper No. 29, 47 p. (2021).

MSC: 42B35 42B30 42B25 46E35

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Gürbüz, Ferit

Parabolic local Campanato estimates for commutators of parabolic fractional maximal and integral operators with rough kernel. (English) Zbl 1499.42068

Filomat 34, No. 4, 1147-1156 (2020).

MSC: 42B20 42B25 42B35

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Mo, Huixia; Ma, Ruiqing

**Commutators generated by Littlewood-Paley \(g_\lambda^*\) function and local Campanato functions on generalized local Morrey spaces.** (English) Zbl 1449.42017

Adv. Math., Beijing 48, No. 4, 469-481 (2019).

MSC: 42B20 42B25 42B35

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Gürbüz, Ferit

Marcinkiewicz integrals with rough kernel associated with Schrödinger operators and commutators on generalized vanishing local Morrey spaces. (English) Zbl 1433.42011

Tbil. Math. J. 11, No. 3, 133-156 (2018).

MSC: 42B20 42B25 42B35 42B37 35J10

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Gurbuz, Ferit

Multi-sublinear operators generated by multilinear fractional integral operators and commutators on the product generalized local Morrey spaces. (English) Zbl 1424.42022

Adv. Math., Beijing 47, No. 6, 855-880 (2018).

MSC: 42B20 42B25 42B35

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Mo, Huixia; Ma, Ruiqing; Wang, Xiaojuan

Commutators generated by Lusin-area integral and local Campanato functions on generalized local Morrey spaces. (English) Zbl 1413.42026

J. Math., Wuhan Univ. 38, No. 3, 381-391 (2018).

MSC: 42B20 42B35 47B47

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Gurbuz, Ferit

Parabolic generalized local Morrey space estimates of rough parabolic sublinear operators and commutators. (English) Zbl 1399.42035

Adv. Math., Beijing 46, No. 5, 765-792 (2017).

MSC: 42B20 42B35 47B47

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Koh, Youngwoo; Seo, Ihyeok

Strichartz estimates for Schrödinger equations in weighted \(L^2\) spaces and their applications. (English) Zbl 1365.35010

Discrete Contin. Dyn. Syst. 37, No. 9, 4877-4906 (2017).

MSC: 35B45 35A01 35Q40 42B35

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Gurbuz, Ferit

Parabolic sublinear operators with rough kernel generated by parabolic Calderón-Zygmund operators and parabolic local Campanato space estimates for their commutators on the parabolic generalized local Morrey spaces. (English) Zbl 1347.42026

Open Math. 14, 300-323 (2016).

MSC: 42B20 42B25 42B35

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Mo, Huixia; Xue, Hongyang

Commutators generated by singular integral operators with variable kernels and local Campanato functions on generalized local Morrey spaces. (English) Zbl 1341.42030

Commun. Math. Anal. 19, No. 2, 32-42 (2016).

MSC: 42B20 42B25 42B35

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Zhu, Yueping; Yang, Qixiang; Li, Pengtao

Stability and Morrey spaces related to multipliers. (English) Zbl 1357.42028

Taiwanese J. Math. 19, No. 3, 819-848 (2015).

MSC: 42B35 46E30

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Isernia, Teresa

BMO regularity for asymptotic parabolic systems with linear growth. (English) Zbl 1363.35018

Differ. Integral Equ. 28, No. 11-12, 1173-1196 (2015).

Reviewer: Daniel Ševčovič (Bratislava)

MSC: 35B20 35K59

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Lazar, Omar

Global and local existence for the dissipative critical SQG equation with small oscillations. (English) Zbl 1326.35278

J. Math. Fluid Mech. 17, No. 3, 533-549 (2015).

MSC: 35Q35 35D30 35Q86 86A05 35A01 35R11

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Balakishiyev, Aydin S.; Guliyev, Vagif S.; Gurbuz, Ferit; Serbetci, Ayhan

Sublinear operators with rough kernel generated by Calderón-Zygmund operators and their commutators on generalized local Morrey spaces. (English) Zbl 1309.42012

J. Inequal. Appl. 2015, Paper No. 61, 18 p. (2015).

MSC: 42B20 42B25 42B35 47B47

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Liu, Liguang; Sawano, Yoshihiro; Yang, Dachun

Morrey-type spaces on Gauss measure spaces and boundedness of singular integrals. (English) Zbl 1306.42042

J. Geom. Anal. 24, No. 2, 1007-1051 (2014).

Reviewer: Sibei Yang (Lanzhou)

MSC: 42B35 42B20 42B25

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Torchinsky, Alberto

Weighted local estimates for fractional type operators. (English) Zbl 1301.42035

Potential Anal. 41, No. 3, 869-885 (2014).

MSC: 42B25 42B20 42B35 26A33 31B10

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Stempak, Krzysztof; Tao, Xiangxing

Local Morrey and Campanato spaces on quasimetric measure spaces. (English) Zbl 1305.46023

J. Funct. Spaces 2014, Article ID 172486, 15 p. (2014).

MSC: 46E30 46E35

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Liu, Changchun; Wang, Zhao

Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. (English) Zbl 1284.35037

Commun. Pure Appl. Anal. 13, No. 3, 1087-1104 (2014).

MSC: 35B10 35K35 35K55 35A01

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Triebel, Hans

Theory of function spaces II. Reprint of the 1992 edition. (English) Zbl 1235.46003

Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-3-0346-0418-5/pbk; 978-3-0346-0419-2/ebook). viii, 366 p. (2010).

Reviewer: Dorothee Haroske (Jena)

MSC: 46-02 46E35 42B35 01A75

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Drihem, Douadi

Some embeddings and equivalent norms of the \({\mathcal L}^{\lambda,s}_{p,q}\) spaces. (English) Zbl 1188.46020

Funct. Approximatio, Comment. Math. 41, No. 1, 15-40 (2009).

MSC: 46E35 46E30

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Liu, Changchun

Convective Cahn-Hilliard equation with degenerate mobility. (English) Zbl 1184.35176

Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. 1, 15-25 (2009).

Reviewer: Dirk Blömker (Augsburg)

MSC: 35K65 35G25 35K55 35D30 35A01

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Xu, Siyan

A remark about Campanato spaces. (Chinese. English summary) Zbl 1125.60065

Math. Appl. 20, No. 1, 59-62 (2007).

MSC: 60H15 42B35

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Ladyzhenskaya, O. A.; Shilkin, T. N.

On coercive estimates for solutions of linear systems of hydrodynamic type. (English. Russian original) Zbl 1068.35108

J. Math. Sci., New York 123, No. 6, 4580-4596 (2004); translation from Zap. Nauchn. Semin. POMI 288, 104-133 (2002).

MSC: 35Q35 35Q30 76D03 76D07

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Czaja, Wojciech; Wickerhauser, Mladen Victor

Singularity detection in images using dual local autocovariance. (English) Zbl 1063.68102

Appl. Comput. Harmon. Anal. 13, No. 1, 77-88 (2002).

MSC: 68U10

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Auscher, P.; Qafsaoui, M.

Equivalence between regularity theorems and heat kernel estimates for higher-order elliptic operators and systems under divergence form. (English) Zbl 0979.35044

J. Funct. Anal. 177, No. 2, 310-364 (2000).

Reviewer: Lubomira Softova (Bari)

MSC: 35J35 35B45

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Lu, Guozhen

Embedding theorems on Campanato-Morrey spaces for vector fields and applications. (English. Abridged French version) Zbl 0842.46019

C. R. Acad. Sci., Paris, Sér. I 320, No. 4, 429-434 (1995).

MSC: 46E35 47F05

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Cannone, Marco

Wavelets, paraproducts and Navier-Stokes. With a preface by Yves Meyer. (Ondelettes, paraproduits, et Navier-Stokes.) (French) Zbl 1049.35517

Nouveaux Essais. Paris: Diderot (ISBN 2-84134-021-X). x, 191 p. (1995).

MSC: 35Q30 35-02 42C40 76D03 76D05

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Found 29 Documents (Results 1–29)

Geometric harmonic analysis IV. Boundary layer potentials in uniformly rectifiable domains, and applications to complex analysis. (English) Zbl 1526.42001

Strichartz and smoothing estimates in weighted \(L^2\) spaces and their applications. (English) Zbl 1484.35098

Localized John-Nirenberg-Campanato spaces. (English) Zbl 1456.42029

Parabolic local Campanato estimates for commutators of parabolic fractional maximal and integral operators with rough kernel. (English) Zbl 1499.42068

Commutators generated by Littlewood-Paley \(g_\lambda^*\) function and local Campanato functions on generalized local Morrey spaces. (English) Zbl 1449.42017

Marcinkiewicz integrals with rough kernel associated with Schrödinger operators and commutators on generalized vanishing local Morrey spaces. (English) Zbl 1433.42011

Multi-sublinear operators generated by multilinear fractional integral operators and commutators on the product generalized local Morrey spaces. (English) Zbl 1424.42022

Commutators generated by Lusin-area integral and local Campanato functions on generalized local Morrey spaces. (English) Zbl 1413.42026

Parabolic generalized local Morrey space estimates of rough parabolic sublinear operators and commutators. (English) Zbl 1399.42035

Strichartz estimates for Schrödinger equations in weighted \(L^2\) spaces and their applications. (English) Zbl 1365.35010

Parabolic sublinear operators with rough kernel generated by parabolic Calderón-Zygmund operators and parabolic local Campanato space estimates for their commutators on the parabolic generalized local Morrey spaces. (English) Zbl 1347.42026

Commutators generated by singular integral operators with variable kernels and local Campanato functions on generalized local Morrey spaces. (English) Zbl 1341.42030

Stability and Morrey spaces related to multipliers. (English) Zbl 1357.42028

BMO regularity for asymptotic parabolic systems with linear growth. (English) Zbl 1363.35018

Global and local existence for the dissipative critical SQG equation with small oscillations. (English) Zbl 1326.35278

Sublinear operators with rough kernel generated by Calderón-Zygmund operators and their commutators on generalized local Morrey spaces. (English) Zbl 1309.42012

Morrey-type spaces on Gauss measure spaces and boundedness of singular integrals. (English) Zbl 1306.42042

Weighted local estimates for fractional type operators. (English) Zbl 1301.42035

Local Morrey and Campanato spaces on quasimetric measure spaces. (English) Zbl 1305.46023

Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions. (English) Zbl 1284.35037

Theory of function spaces II. Reprint of the 1992 edition. (English) Zbl 1235.46003

Some embeddings and equivalent norms of the \({\mathcal L}^{\lambda,s}_{p,q}\) spaces. (English) Zbl 1188.46020

Convective Cahn-Hilliard equation with degenerate mobility. (English) Zbl 1184.35176

A remark about Campanato spaces. (Chinese. English summary) Zbl 1125.60065

On coercive estimates for solutions of linear systems of hydrodynamic type. (English. Russian original) Zbl 1068.35108

Singularity detection in images using dual local autocovariance. (English) Zbl 1063.68102

Equivalence between regularity theorems and heat kernel estimates for higher-order elliptic operators and systems under divergence form. (English) Zbl 0979.35044

Embedding theorems on Campanato-Morrey spaces for vector fields and applications. (English. Abridged French version) Zbl 0842.46019

Wavelets, paraproducts and Navier-Stokes. With a preface by Yves Meyer. (Ondelettes, paraproduits, et Navier-Stokes.) (French) Zbl 1049.35517

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**Commutators generated by Littlewood-Paley \(g_\lambda^*\) function and local Campanato functions on generalized local Morrey spaces.** (English) Zbl 1449.42017