Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces

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We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class A∞. The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the radial situation. © 2016 Instytut Matematyczny PAN.

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Autor principal: De Nápoli, P.L
Otros Autores: Drelichman, I., Saintier, N.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Instytut Matematyczny 2016
Acceso en línea:Registro en Scopus
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100 1 |a De Nápoli, P.L. 
245 1 0 |a Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces 
260 |b Instytut Matematyczny  |c 2016 
506 |2 openaire  |e Política editorial 
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504 |a Duoandikoetxea, J., Moyua, A., Oruetxebarria, O., Seijo, E., Radial Ap weights with applications to the disc multiplier and the Bochner-Riesz operators (2008) Indiana Univ. Math. J, 57, pp. 1261-1281 
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504 |a García-Cuerva, J., De Rubio Francia, J.L., (1985) Weighted Norm Inequalities and Related Topics, , North-Holland, Amsterdam 
504 |a Haroske, D., Skrzypczak, L., Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights (2008) I , Rev. Mat. Complut, 21, pp. 135-177 
504 |a 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, pp. 111-138 
504 |a Haroske, D., Skrzypczak, L., Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases (2011) J. Funct. Spaces Appl, 9, pp. 129-178 
504 |a Jawerth, B., Some observations on besov and lizorkin-Triebel spaces (1977) Math. Scand, 40, pp. 94-104 
504 |a Kokilashvili, V.M., Maximal inequalities and multipliers in weighted Lizorkin-Triebel spaces (1978) Soviet Math. Dokl, 19, pp. 271-276 
504 |a Köhn, T., Entropy numbers in weighted function spaces. The case of intermediate weights (2006) Proc. Steklov Inst. Math, 255, pp. 159-168 
504 |a Köhn, T., Leopold, H.-G., Sickel, W., Skrzypczak, L., Entropy numbers of embeddings of weighted Besov spaces (2006) Constr. Approx, 23, pp. 61-77 
504 |a Köhn, T., Leopold, H.-G., Sickel, W., Skrzypczak, L., Entropy numbers of embeddings of weighted Besov spaces. II (2006) Proc. Edinburgh Math. Soc, 2 (49), pp. 331-359 
504 |a Köhn, T., Leopold, H.-G., Sickel, W., Skrzypczak, L., Entropy numbers of embeddings of weighted Besov spaces. III. Weights of logarithmic type (2007) Math. Z, 255, pp. 1-15 
504 |a Köhn, T., Leopold, H.-G., Sickel, W., Skrzypczak, L., Entropy numbers of Sobolev embeddings of radial Besov spaces (2003) J. Approx. Theory, 121, pp. 244-268 
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504 |a Meyries, M., Veraar, M., Sharp embedding results for spaces of smooth functions with power weights (2012) Studia Math, 208, pp. 257-293 
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504 |a Peetre, J., New thoughts on besov spaces (1976) Duke Univ. Math. Ser, 1. , Math. Dep. Duke Univ., Durham, NC 
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504 |a 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, pp. 639-662 
504 |a Sickel, W., Skrzypczak, L., On the interplay of regularity and decay in case of radial functions II. Homogeneous spaces (2012) J. Fourier Anal. Appl, 18, pp. 548-582 
504 |a Sickel, W., Skrzypczak, L., Vybirál, J., On the interplay of regularity and decay in case of radial functions I. Inhomogeneous spaces (2012) Comm. Contemp. Math, 14 (1), p. 60. , 1250005 
504 |a Strauss, W.A., Existence of solitary waves in higher dimensions (1977) Comm. Math. Phys, 55, pp. 149-162 
504 |a Triebel, H., (1983) Theory of Function Spaces, , Geest & Portig, Leipzig 
504 |a Triebel, H., (2006) Theory of Function Spaces III , Monogr. Math, 100. , Birkhäuser, Basel 
520 3 |a We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class A∞. The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the radial situation. © 2016 Instytut Matematyczny PAN.  |l eng 
593 |a IMAS (UBA-CONICET) and Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Ciudad Universitaria, Buenos Aires, 1428, Argentina 
593 |a Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina 
593 |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires Ciudad Universitaria, Buenos Aires, 1428, Argentina 
690 1 0 |a EMBEDDING THEOREMS 
690 1 0 |a MUCKENHOUPT WEIGHTS 
690 1 0 |a RADIAL FUNCTIONS 
690 1 0 |a WAVELET BASES 
700 1 |a Drelichman, I. 
700 1 |a Saintier, N. 
773 0 |d Instytut Matematyczny, 2016  |g v. 233  |h pp. 47-65  |k n. 1  |p Stud. Math.  |x 00393223  |w (AR-BaUEN)CENRE-251  |t Studia Mathematica 
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