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Found 77 Documents (Results 1–77)

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Xiong, Xiao; Xu, Quanhua; Yin, Zhi

Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori. (English) Zbl 1414.46045

Memoirs of the American Mathematical Society 1203. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2806-8/print; 978-1-4704-4375-7/ebook). vi, 122 p. (2018).
MSC:  46L52 46L51 46L87 47L25 47L65 43A99
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\textit{X. Xiong} et al., Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1414.46045)
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Grafakos, Loukas

Fractional differentiation: Leibniz meets Hölder. (English) Zbl 1376.42017

Balan, Radu (ed.) et al., Excursions in harmonic analysis, Volume 5. The February Fourier talks at the Norbert Wiener Center, College Park, MD, USA, 2002–2016. Basel: Birkhäuser/Springer (ISBN 978-3-319-54710-7/hbk; 978-3-319-54711-4/ebook). Applied and Numerical Harmonic Analysis, 17-34 (2017).
MSC:  42B20 26A33 35R11
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\textit{L. Grafakos}, in: Excursions in harmonic analysis, Volume 5. The February Fourier talks at the Norbert Wiener Center, College Park, MD, USA, 2002--2016. Basel: Birkhäuser/Springer. 17--34 (2017; Zbl 1376.42017)
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Samko, Stefan

On some classical operators of variable order in variable exponent spaces. (English) Zbl 1189.46022

Cialdea, Alberto (ed.) et al., Analysis, partial differential equations and applications. The Vladimir Maz’ya anniversary volume. Selected papers of the international workshop, Rome, Italy, June 30–July 3, 2008. Basel: Birkhäuser (ISBN 978-3-7643-9897-2/hbk; 978-3-7643-9898-9/ebook). Operator Theory: Advances and Applications 193, 281-301 (2009).
MSC:  46E30 47B38 42B20 42B35 46-02
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\textit{S. Samko}, Oper. Theory: Adv. Appl. 193, 281--301 (2009; Zbl 1189.46022)
Rafeiro, Humberto; Samko, Stefan

Characterization of the range of one-dimensional fractional integration in the space with variable exponent. (English) Zbl 1160.46022

Bastos, Maria Amélia (ed.) et al., Operator algebras, operator theory and applications. Selected papers of the international summer school and workshop, WOAT 2006, Lisbon, Portugal, September 1–5, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8683-2/hbk). Operator Theory: Advances and Applications 181, 393-416 (2008).
MSC:  46E30 47B38 26A33
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\textit{H. Rafeiro} and \textit{S. Samko}, Oper. Theory: Adv. Appl. 181, 393--416 (2008; Zbl 1160.46022)
Skrzypczak, Leszek

Smoothing properties and compactness of Riesz-Bessel potentials on symmetric spaces of noncompact type. (English) Zbl 1100.43006

Miyachi, Akihiko (ed.) et al., Harmonic analysis and its applications. Proceedings of the international conference on harmonic analysis and its applications, Osaka, Japan, November 15–17, 2004. Yokohama: Yokohama Publishers (ISBN 4-946552-20-0/pbk). 77-90 (2006).
Reviewer: Lubomira Softova (Bari)
MSC:  43A85 46E35 31C15
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\textit{L. Skrzypczak}, in: Harmonic analysis and its applications. Proceedings of the international conference on harmonic analysis and its applications, Osaka, Japan, November 15--17, 2004. Yokohama: Yokohama Publishers. 77--90 (2006; Zbl 1100.43006)
Lyakhov, L. N.; Polovinkina, M. V.

The space of weighted Bessel potentials. (English. Russian original) Zbl 1127.47044

Proc. Steklov Inst. Math. 250, 178-182 (2005) ; translation from Tr. Mat. Inst. Steklova 250, 192-197 (2005).
Reviewer: Alexander Meskhi (Lahore)
MSC:  47G20 46E35 31B10
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\textit{L. N. Lyakhov} and \textit{M. V. Polovinkina}, in: Differential equations and dynamical systems. Collected papers. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. 178--182 (2005; Zbl 1127.47044); translation from Tr. Mat. Inst. Steklova 250, 192--197 (2005)
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Maz’ya, Vladimir; Shaposhnikova, Tatyana

A survey of pointwise interpolation inequalities for integer and fractional derivatives. (English) Zbl 1110.26019

Wirgin, Armand (ed.), Acoustics, mechanics, and the related topics of mathematical analysis. Proceedings of the international conference to celebrate Robert P. Gilbert’s 70th birthday, Frejus, France, June 18–22, 2002. River Edge, NJ: World Scientific (ISBN 981-238-264-X/hbk). 212-221 (2002).
Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk)
MSC:  26D10 42B25 31B15 46E35 47B38
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\textit{V. Maz'ya} and \textit{T. Shaposhnikova}, in: Acoustics, mechanics, and the related topics of mathematical analysis. Proceedings of the international conference to celebrate Robert P. Gilbert's 70th birthday, Frejus, France, June 18--22, 2002. River Edge, NJ: World Scientific. 212--221 (2002; Zbl 1110.26019)
Kunze, Ray A.

On some problems in analysis suggested by representation theory. (English) Zbl 0973.46024

Doran, Robert S. (ed.) et al., The mathematical legacy of Harish-Chandra. A celebration of representation theory and harmonic analysis. Proceedings of an AMS special session honoring the memory of Harish-Chandra, Baltimore, MD, USA, January 9-10, 1998. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 68, 433-470 (2000).
Reviewer: Hans Triebel (Jena)
MSC:  46E35 46F12
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\textit{R. A. Kunze}, Proc. Symp. Pure Math. 68, 433--470 (2000; Zbl 0973.46024)
Maz’ya, Vladimir; Shaposhnikova, Tatyana

Pointwise interpolation inequalities for Riesz and Bessel potentials. (English) Zbl 0968.47007

Santosa, Fadil (ed.) et al., Analytical and computational methods in scattering and applied mathematics. A volume to the memory of Ralph Ellis Kleinman. Boca Raton, FL: Chapman & Hall/ CRC. Chapman Hall/CRC Res. Notes Math. 417, 217-229 (2000).
Reviewer: Stefan G.Samko (Faro)
MSC:  47B38 42B25 31B15
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\textit{V. Maz'ya} and \textit{T. Shaposhnikova}, Chapman Hall/CRC Res. Notes Math. 417, 217--229 (2000; Zbl 0968.47007)
Lyakhov, L. N.

On the symbol of the integral operator of the \(B\)-potential type with a single characteristic. (English. Russian original) Zbl 0907.47047

Dokl. Math. 54, No. 3, 852-856 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 2, 164-168 (1996).
Reviewer: S.G.Samko (Faro)
MSC:  47G10 47G30 42B20
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\textit{L. N. Lyakhov}, Dokl. Math. 54, No. 3, 852--856 (1996; Zbl 0907.47047); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 2, 164--168 (1996)
Karapetyants, A. N.; Nogin, V. A.

The description of functions from anisotropic spaces of complex order and its application. (English. Russian original) Zbl 0907.46023

Dokl. Math. 54, No. 3, 821-823 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 1, 13-15 (1996).
Reviewer: S.G.Samko (Faro)
MSC:  46E30 46E35
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\textit{A. N. Karapetyants} and \textit{V. A. Nogin}, Dokl. Math. 54, No. 3, 821--823 (1996; Zbl 0907.46023); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 1, 13--15 (1996)
Lyakhov, L. N.

Describing the space of the Riesz \(B\)-potentials \(\mathbb{U}_ \alpha^ \gamma (L_ p^ \gamma)\) using \(B\)-derivatives of order \(2[\alpha/2]\). (English. Russian original) Zbl 0889.46033

Dokl. Math. 51, No. 2, 190-193 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 2, 161-165 (1995).
Reviewer: S.G.Samko (Faro)
MSC:  46E35 31B15
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\textit{L. N. Lyakhov}, Dokl. Math. 51, No. 2, 190--193 (1995; Zbl 0889.46033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 2, 161--165 (1995)
Nogin, V. A.

The weighted spaces \(L^{\alpha}_{p,r}(\rho _ 1,\rho _ 2)\) of differentiable functions of fractional smoothness. (English. Russian original) Zbl 0641.46020

Math. USSR, Sb. 59, No. 1, 209-221 (1988); translation from Mat. Sb., Nov. Ser. 131(173), No. 2, 213-224 (1986).
Reviewer: M.Berkolajko
MSC:  46E35 26A33 45E10
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\textit{V. A. Nogin}, Math. USSR, Sb. 59, No. 1, 209--221 (1988; Zbl 0641.46020); translation from Mat. Sb., Nov. Ser. 131(173), No. 2, 213--224 (1986)
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Maz’ya, V. G.; Shaposhnikova, T. O.

Multipliers in spaces of differentiable functions. (Mul’tiplikatory v prostranstvakh differentsiruemykh funktsij.) (Russian) Zbl 0695.46016

Leningrad: Izdatel’stvo Leningradskogo Universiteta. 404 p. R. 2.90 (1986).
Reviewer: H.Triebel
MSC:  46E35 46-02 46E15 46E30 35J25 35J40 47Gxx 47F05 45E10 35B45 31B15
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\textit{V. G. Maz'ya} and \textit{T. O. Shaposhnikova}, Mul'tiplikatory v prostranstvakh differentsiruemykh funktsij (Russian). Leningrad: Izdatel'stvo Leningradskogo Universiteta (1986; Zbl 0695.46016)

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