Registro:
Documento: |
Artículo
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Título: | Weighted convolution inequalities for radial functions |
Autor: | De Nápoli, P.L.; Drelichman, I. |
Filiación: | IMAS, CONICET-UBA, Buenos Aires, Argentina Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina
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Palabras clave: | Convolution; Fractional integrals; Radial functions; Riesz potentials; Weighted Besov spaces; Young’s inequality |
Año: | 2013
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Volumen: | 194
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Número: | 1
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Página de inicio: | 167
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Página de fin: | 181
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DOI: |
http://dx.doi.org/10.1007/s10231-013-0370-6 |
Título revista: | Annali di Matematica Pura ed Applicata
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Título revista abreviado: | Ann. Mat. Pura Appl.
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ISSN: | 03733114
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03733114_v194_n1_p167_DeNapoli |
Referencias:
- Biswas, A., Swanson, D., Navier–Stokes equations and weighted convolution inequalities in groups (2010) Commun. Partial Differ. Equ., 35 (4), pp. 559-589
- Bui, H.-Q., Weighted Young’s inequality and convolution theorems on weighted Besov spaces (1994) Math. Nachr., 170, pp. 25-37
- Calderón, A.-P., Intermediate spaces and interpolation, the complex method (1964) Studia Math., 24, pp. 113-190
- De Nápoli, P.L., Drelichman, I., Durán, R.G., On weighted inequalities for fractional integrals of radial functions (2011) Ill. J. Math., 55 (2), pp. 575-587
- De Nápoli, P.L., Drelichman, I., Saintier, N.: Weighted embedding theorems for radial Besov and Triebel–Lizorkin spaces (in preparation); Duoandikoetxea, J., Fractional integrals on radial functions with applications to weighted inequalities (2011) Ann. Mat. Pura Appl
- Haroske, D., Skrzypczak, L., Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights (2011) Ann. Acad. Sci. Fenn. Math., 36 (1), pp. 111-138
- Kerman, R.A., Convolution theorems with weights (1983) Trans. Am. Math. Soc., 280 (1), pp. 207-219
- Kerman, R., Sawyer, E., Convolution algebras with weighted rearrangement-invariant norm (1994) Studia Math., 108 (2), pp. 103-126
- Meyries, M., Veraar, M., Sharp embedding results for spaces of smooth functions with power weights (2012) Studia Math., 208 (3), pp. 257-293
- Nursultanov, E., Tikhonov, S., Convolution inequalities in Lorentz spaces (2011) J. Fourier Anal. Appl., 17 (3), pp. 486-505
- O’Neil, R., Convolution operators and (Formula presented.) spaces (1963) Duke Math. J., 30, pp. 129-142
- Rakotondratsimba, Y., Weighted Young inequalities for convolutions (2002) Southeast Asian Bull. Math., 26 (1), pp. 77-99
- Rubin, B.S., One-dimensional representation, inversion and certain properties of Riesz potentials of radial functions (Russian). Mat. Zametki 34(4), 521–533 (1983). English translation: (1983) Math. Notes, 34 (3-4), pp. 751-757
- Sickel, W., Skrzypczak, L., Radial subspaces of Besov and Lizorkin–Triebel classes: extended Strauss lemma and compactness of embeddings (2000) J. Fourier Anal. Appl., 6 (6), pp. 639-662
- Stein, E.M., Weiss, G., Fractional integrals on n-dimensional Euclidean space (1958) J. Math. Mech., 7, pp. 503-514
- Triebel, H., (1983) Theory of Function Spaces. Monographs in Mathematics vol. 78, , Birkhäuser Verlag: Basel
Citas:
---------- APA ----------
De Nápoli, P.L. & Drelichman, I.
(2013)
. Weighted convolution inequalities for radial functions. Annali di Matematica Pura ed Applicata, 194(1), 167-181.
http://dx.doi.org/10.1007/s10231-013-0370-6---------- CHICAGO ----------
De Nápoli, P.L., Drelichman, I.
"Weighted convolution inequalities for radial functions"
. Annali di Matematica Pura ed Applicata 194, no. 1
(2013) : 167-181.
http://dx.doi.org/10.1007/s10231-013-0370-6---------- MLA ----------
De Nápoli, P.L., Drelichman, I.
"Weighted convolution inequalities for radial functions"
. Annali di Matematica Pura ed Applicata, vol. 194, no. 1, 2013, pp. 167-181.
http://dx.doi.org/10.1007/s10231-013-0370-6---------- VANCOUVER ----------
De Nápoli, P.L., Drelichman, I. Weighted convolution inequalities for radial functions. Ann. Mat. Pura Appl. 2013;194(1):167-181.
http://dx.doi.org/10.1007/s10231-013-0370-6