Long, Pinhong; Han, Huili Nonlinear potential analysis in Morrey spaces on Carnot groups. (English) Zbl 07913040 J. Math. Res. Appl. 44, No. 5, 669-680 (2024). MSC: 22E30 31C15 35J60 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chengbo; Zhang, Xiaoran An alternative proof of Tataru’s dispersive estimates. (English) Zbl 1539.35019 Forum Math. 36, No. 3, 743-764 (2024). MSC: 35B45 33C10 35L15 35L71 35R01 46F10 58J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dzhabrailov, A. L.; Shishkina, È. L. On the theory of spaces of generalized Bessel potentials. (Russian. English summary) Zbl 1513.42036 Vladikavkaz. Mat. Zh. 24, No. 3, 62-77 (2022). MSC: 42B20 42B35 47B38 46E30 47G40 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Hu, J.; Zähle, M. Generalized Bessel and Riesz potentials on metric measure spaces. (English) Zbl 1166.47056 Potential Anal. 30, No. 4, 315-340 (2009). Reviewer: Khalil Ezzinbi (Marrakech) MSC: 47H50 28A80 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Joensuu, Jani On null sets of Sobolev-Orlicz capacities. (English) Zbl 1190.31002 Ill. J. Math. 52, No. 4, 1195-1211 (2008). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 46E30 × Cite Format Result Cite Review PDF Full Text: Euclid
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 × Cite Format Result Cite Review PDF
Asai, Nobuhiro Riesz potentials derived by one-mode interacting Fock space approach. (English) Zbl 1121.46026 Colloq. Math. 109, No. 1, 101-106 (2007). MSC: 46E20 33D45 60J45 × Cite Format Result Cite Review PDF Full Text: DOI
Jacob, Niels; Schilling, René L. Towards an \(L^p\) potential theory for sub-Markovian semigroups: kernels and capacities. (English) Zbl 1104.31007 Acta Math. Sin., Engl. Ser. 22, No. 4, 1227-1250 (2006). Reviewer: Zoran Vondraček (Urbana) MSC: 31C45 47D07 31C15 31C25 35S05 47B65 47B34 60J35 × Cite Format Result Cite Review PDF Full Text: DOI
Pitt, Loren D.; Robeva, Raina S. On the sharp Markov property for Gaussian random fields and spectral synthesis in spaces of Bessel potentials. (English) Zbl 1040.60042 Ann. Probab. 31, No. 3, 1338-1376 (2003). Reviewer: Ilya S. Molchanov (Bern) MSC: 60G60 31B15 31B25 60G15 60H15 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Bojarski, Bogdan; Hajłasz, Piotr; Strzelecki, Paweł Improved \(C^{k,\lambda}\) approximation of higher order Sobolev functions in norm and capacity. (English) Zbl 1036.46023 Indiana Univ. Math. J. 51, No. 3, 507-540 (2002). Reviewer: René L. Schilling (Brighton) MSC: 46E35 31B15 26B05 26B35 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Swanson, David Pointwise inequalities and approximation in fractional Sobolev spaces. (English) Zbl 0993.46016 Stud. Math. 149, No. 2, 147-174 (2002). Reviewer: Julian Musielak (Poznań) MSC: 46E35 31B15 41A25 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Samko, Stefan G. Hypersingular integrals and their applications. (English) Zbl 0998.42010 Analytical Methods and Special Functions. 5. London: Taylor & Francis. xvii, 359 p. (2002). Reviewer: Nikolai K.Karapetyants (Rostov-na-Donu) MSC: 42B20 42-02 26A33 46E35 47B38 31B10 47G10 × Cite Format Result Cite Review PDF
Gulisashvili, Archil Sharp estimates in smoothing theorems for Schrödinger semigroups. (English) Zbl 0958.47017 J. Funct. Anal. 170, No. 1, 161-187 (2000). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D06 35J10 46E35 47F05 × Cite Format Result Cite Review PDF Full Text: DOI
Krylov, N. V. An analytic approach to SPDEs. (English) Zbl 0933.60073 Carmona, Rene A. (ed.) et al., Stochastic partial differential equations: six perspectives. Providence, RI: American Mathematical Society. Math. Surv. Monogr. 64, 185-242 (1999). Reviewer: R.Buckdahn (Brest) MSC: 60H15 × Cite Format Result Cite Review PDF
Yoo, Hyek On the unique solvability of some nonlinear stochastic PDEs. (English) Zbl 0908.60057 Electron. J. Probab. 3, Paper No. 11, 22 p. (1998). MSC: 60H15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI EuDML EMIS
Ozawa, T. Characterization of Trudinger’s inequality. (English) Zbl 0921.46023 J. Inequal. Appl. 1, No. 4, 369-374 (1997). Reviewer: S.G.Samko (Faro) MSC: 46E35 26D10 46E30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Aïssaoui, N. Bessel potentials in Orlicz spaces. (English) Zbl 0899.46019 Rev. Mat. Univ. Complutense Madr. 10, No. 1, 55-79 (1997). MSC: 46E35 31B15 28A12 × Cite Format Result Cite Review PDF Full Text: EuDML
Umbetzhanov, D. U. On a space of potentials with fractional smoothness with densities from the Stepanov class. (English. Russian original) Zbl 0942.46019 Ukr. Math. J. 47, No. 10, 1599-1606 (1995); translation from Ukr. Mat. Zh. 47, No. 10, 1399-1404 (1995). Reviewer: A.N.Kochubei (Kyïv) MSC: 46E35 42A75 × Cite Format Result Cite Review PDF Full Text: DOI
Umbetzhanov, D. U. A new space of potentials with densities from the Stepanov class. (English. Russian original) Zbl 0879.46016 Dokl. Math. 51, No. 2, 218-220 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 3, 310-312 (1995). MSC: 46E35 46E30 × Cite Format Result Cite Review PDF
Besov, O. V. Equivalent normings of the Sobolev-Liouville space on a domain. (English. Russian original) Zbl 0821.46039 Proc. Steklov Inst. Math. 194, 13-30 (1993); translation from Tr. Mat. Steklova 194, 15-32 (1992). Reviewer: A.Kufner MSC: 46E35 × Cite Format Result Cite Review PDF
Bukhvalov, A. V. Sobolev spaces of vector valued functions. (Russian. English summary) Zbl 0769.46024 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 190, 5-14 (1991). MSC: 46E35 46E40 × Cite Format Result Cite Review PDF Full Text: EuDML
Bukhvalov, A. V. Sobolev spaces of vector valued functions. (English. Russian original) Zbl 0827.46026 J. Math. Sci., New York 71, No. 1, 2173-2179 (1994); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 190, 5-14 (1991). MSC: 46E35 46E40 × Cite Format Result Cite Review PDF Full Text: DOI
Glaeske, Hans-Jürgen; Vu Kim Tuan Mapping properties and composition structure of convolution transforms. (English) Zbl 0757.44005 Serdica 16, No. 2, 143-150 (1990). Reviewer: M.Dutta (Calcutta) MSC: 44A35 46F12 × Cite Format Result Cite Review PDF
Shaposhnikova, T. O. Traces of multipliers in the space of Bessel potentials. (English. Russian original) Zbl 0694.46028 Math. Notes 46, No. 3, 743-749 (1989); translation from Mat. Zametki 46, No. 3, 100-109 (1989). Reviewer: K.Yoshinaga MSC: 46E35 42B15 × Cite Format Result Cite Review PDF Full Text: DOI
Bagdasaryan, A. G. On the interpolation and on the traces of functions from certain anisotropic functional spaces. (English. Russian original) Zbl 0713.46049 Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 23, No. 4, 54-68 (1988); translation from Izv. Akad. Nauk Arm. SSR, Mat. 23, No. 4, 353-365 (1988). MSC: 46M35 46E35 46E30 × Cite Format Result Cite Review PDF
Bagdasaryan, A. G. On interpolation and on traces of functions of some anisotropic functional spaces. (Russian. English summary) Zbl 0674.46045 Izv. Akad. Nauk Arm. SSR, Mat. 23, No. 4, 353-365 (1988). Reviewer: A.Bukhvalov MSC: 46M35 46E35 46E30 × Cite Format Result Cite Review PDF
Rustamov, Kh. P. On the smoothness of the symbol of multidimensional singular integral operators. (English) Zbl 0677.42014 Anal. Math. 13, No. 2, 93-119 (1987). Reviewer: T.Murai MSC: 42B20 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF
Dorronsoro, José R. Poisson integrals of regular functions. (English) Zbl 0613.31005 Trans. Am. Math. Soc. 297, 669-685 (1986). Reviewer: L.Neckermann MSC: 31B25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Maz’ya, V. G. Sobolev spaces. (Prostranstva S. L. Soboleva.) (Russian) Zbl 0727.46017 Leningrad: Izdatel’stvo Leningradskogo Universiteta. 416 p. R. 3.50 (1985). MSC: 46E35 46-02 × Cite Format Result Cite Review PDF
Maz’ya, Vladimir G. Sobolev spaces. Transl. from the Russian by T. O. Shaposhnikova. (English) Zbl 0692.46023 Berlin etc.: Springer-Verlag. xix, 486 p. (1985). Reviewer: H.Triebel MSC: 46E35 46-02 × Cite Format Result Cite Review PDF
Pankratova, T. F. Quasimodes and splitting of eigenvalues. (English. Russian original) Zbl 0592.34012 Sov. Math., Dokl. 29, 597-601 (1984); translation from Dokl. Akad. Nauk SSSR 276, 795-799 (1984). Reviewer: H.Hochstadt MSC: 34L99 34B30 81Q05 47B25 × Cite Format Result Cite Review PDF
Dappa, Henry; Trebels, Walter On hypersingular integrals and anisotropic Bessel potential spaces. (English) Zbl 0558.42009 Trans. Am. Math. Soc. 286, 419-429 (1984). Reviewer: M.Milman MSC: 42B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Gadzhiev, A. D. Differential properties of the symbol of a singular operator in spaces of Bessel potentials on a sphere. (Russian) Zbl 0506.47032 Izv. Akad. Nauk Az. SSR, Ser. Fiz.- Tekh. Mat. Nauk 1982, No. 1, 134-140 (1982). MSC: 47Gxx 46E30 35S05 × Cite Format Result Cite Review PDF
Mizuhara, Takahiro On some function spaces and Lipschitz spaces. (English) Zbl 0484.42003 J. Lond. Math. Soc., II. Ser. 25, 75-87 (1982). MSC: 42A38 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Ombe, H.; Onneweer, C. W. Bessel potential spaces and generalized Lipschitz spaces on local fields. (English) Zbl 0484.43003 Functional analysis and approximation, Proc. Conf., Oberwolfach 1980, ISNM 60, 129-137 (1981). MSC: 43A70 26A24 × Cite Format Result Cite Review PDF
Maz’ya, V. G.; Shaposhnikova, T. O. On sufficient conditions for the membership to a class of multipliers. (Russian) Zbl 0474.46019 Math. Nachr. 100, 151-162 (1981). MSC: 46E35 42B15 × Cite Format Result Cite Review PDF Full Text: DOI
Maz’ya, V. G. On an imbedding theorem and multiplicators in couples of S. L. Sobolev spaces. (Russian) Zbl 0467.46029 Tr. Tbilis. Mat. Inst. Razmadze 66, 59-69 (1980). MSC: 46E35 × Cite Format Result Cite Review PDF
Kokilashvili, V. M. Über Einbettungssätze mit Grenzexponent für anisotrope Besselpotentiale. (Russian) Zbl 0455.46037 Constructive function theory, Proc. int. Conf., Blagoevgrad 1977, 95-98 (1980). MSC: 46E35 × Cite Format Result Cite Review PDF
Ding Xia-qi \(L_p(\varphi )\) spaces and weighted Bessel potentials. (Chinese) Zbl 0436.46025 Acta Math. Sin. 23, 135-145 (1980). MSC: 46E30 × Cite Format Result Cite Review PDF
Jonsson, Alf The trace of potentials on general sets. (English) Zbl 0439.46024 Ark. Mat. 17, 1-18 (1979). MSC: 46E35 31B99 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Ding Xia-qi On some results about the \(L_p(\varphi )\)-estimates. (Chinese) Zbl 0436.46024 Kexue Tongbao 24, 244-246 (1979). MSC: 46E30 46E35 × Cite Format Result Cite Review PDF
Kokilashvili, V. M. Anisotrope Besselpotentiale. Ein Einbettungssatz mit einem Grenzexponent. (Russian) Zbl 0456.46030 Tr. Tbilis. Mat. Inst. Razmadze 58, 134-149 (1978). MSC: 46E35 × Cite Format Result Cite Review PDF
Neugebauer, C. J. Strong differentiability of Lipschitz functions. (English) Zbl 0391.46030 Trans. Am. Math. Soc. 240, 295-306 (1978). MSC: 46E35 31C15 28A15 × Cite Format Result Cite Review PDF Full Text: DOI