On the interpolation space (Lp(Ω),W1,p(Ω))s,p in non-smooth domains
We show that, for certain non-smooth bounded domains Ω⊂Rn, the real interpolation space (Lp(Ω),W1,p(Ω))s,p is the subspace W˜s,p(Ω)⊂Lp(Ω) induced by the restricted fractional seminorm |f|W˜s,p(Ω)=(∫Ω∫|x−y|<%[Formula presented]dydx)[Formula presented]. © 2018 Elsevier Inc.
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Academic Press Inc.
2019
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 04641caa a22005417a 4500 | ||
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| 001 | PAPER-25698 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205748.0 | ||
| 008 | 190410s2019 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-85054125063 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Drelichman, I. | |
| 245 | 1 | 3 | |a On the interpolation space (Lp(Ω),W1,p(Ω))s,p in non-smooth domains |
| 260 | |b Academic Press Inc. |c 2019 | ||
| 270 | 1 | 0 | |m Drelichman, I.; IMAS (UBA-CONICET), Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Argentina; email: irene@drelichman.com |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Bennett, C., Sharpley, R., Interpolation of Operators (1988) Pure and Applied Mathematics, 129. , Academic Press, Inc. Boston, MA | ||
| 504 | |a DeVore, R.A., Sharpley, R.C., Besov spaces on domains in Rd (1993) Trans. Amer. Math. Soc., 335 (2), pp. 843-864 | ||
| 504 | |a Dispa, S., Intrinsic characterizations of Besov spaces on Lipschitz domains (2003) Math. Nachr., 260, pp. 21-33 | ||
| 504 | |a Drelichman, I., Durán, R.G., Improved Poincaré inequalities in fractional Sobolev spaces (2017), preprint; Dyda, B., On comparability of integral forms (2006) J. Math. Anal. Appl., 318 (2), pp. 564-577 | ||
| 504 | |a Dyda, B., Ihnatsyeva, L., Vähäkangas, A.V., On improved fractional Sobolev–Poincaré inequalities (2016) Ark. Mat., 54 (2), pp. 437-454 | ||
| 504 | |a Hurri-Syrjänen, R., Vähäkangas, A.V., On fractional Poincaré inequalities (2013) J. Anal. Math., 120, pp. 85-104 | ||
| 504 | |a John, F., Rotation and strain (1961) Comm. Pure Appl. Math., 14, pp. 391-413 | ||
| 504 | |a Johnen, H., Scherer, K., On the equivalence of the K-functional and moduli of continuity and some applications (1977) Constructive Theory of Functions of Several Variables, Proc. Conf., Math. Res. Inst., Oberwolfach, 1976, Lecture Notes in Math., 571, pp. 119-140. , Springer Berlin | ||
| 504 | |a Martio, O., Sarvas, J., Injectivity theorems in plane and space (1979) Ann. Acad. Sci. Fenn. Ser. A I Math., 4 (2), pp. 383-401 | ||
| 504 | |a Rohde, S., Quasicircles modulo bilipschitz maps (2001) Rev. Mat. Iberoam., 17 (3), pp. 643-659 | ||
| 504 | |a Seeger, A., A Note on Triebel–Lizorkin Spaces (1989) Approximation and Function Spaces (Warsaw, 1986), 22, pp. 391-400. , Banach Center Publ., 22, PWN Warsaw | ||
| 504 | |a Triebel, H., Interpolation Theory, Function Spaces, Differential Operators (1978) North-Holland Mathematical Library, 18. , North-Holland Publishing Co. Amsterdam-New York | ||
| 504 | |a Triebel, H., Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers (2002) Rev. Mat. Complut., 15 (2), pp. 475-524 | ||
| 504 | |a Triebel, H., Theory of Function Spaces. III (2006) Monographs in Mathematics, 100. , Birkhäuser Verlag Basel | ||
| 520 | 3 | |a We show that, for certain non-smooth bounded domains Ω⊂Rn, the real interpolation space (Lp(Ω),W1,p(Ω))s,p is the subspace W˜s,p(Ω)⊂Lp(Ω) induced by the restricted fractional seminorm |f|W˜s,p(Ω)=(∫Ω∫|x−y|<%[Formula presented]dydx)[Formula presented]. © 2018 Elsevier Inc. |l eng | |
| 593 | |a IMAS (UBA-CONICET), Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina | ||
| 593 | |a IMAS (UBA-CONICET), Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina | ||
| 690 | 1 | 0 | |a FRACTIONAL SOBOLEV SPACES |
| 690 | 1 | 0 | |a IRREGULAR DOMAINS |
| 690 | 1 | 0 | |a JOHN DOMAINS |
| 690 | 1 | 0 | |a REAL INTERPOLATION |
| 690 | 1 | 0 | |a UNIFORM DOMAINS |
| 700 | 1 | |a Durán, R.G. | |
| 773 | 0 | |d Academic Press Inc., 2019 |g v. 470 |h pp. 91-101 |k n. 1 |p J. Math. Anal. Appl. |x 0022247X |w (AR-BaUEN)CENRE-271 |t Journal of Mathematical Analysis and Applications | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85054125063&doi=10.1016%2fj.jmaa.2018.09.054&partnerID=40&md5=2b4ec96b649e0ec719fb508b4115afd3 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.jmaa.2018.09.054 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_0022247X_v470_n1_p91_Drelichman |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v470_n1_p91_Drelichman |y Registro en la Biblioteca Digital |
| 961 | |a paper_0022247X_v470_n1_p91_Drelichman |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||
| 999 | |c 86651 | ||