On some new sharp estimates in analytic Herz-type function spaces in tubular domains over symmetric cones
Romi F. Shamoyan; Olivera Mihić
Czechoslovak Mathematical Journal (2018)
- Volume: 68, Issue: 4, page 1033-1050
- ISSN: 0011-4642
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topShamoyan, Romi F., and Mihić, Olivera. "On some new sharp estimates in analytic Herz-type function spaces in tubular domains over symmetric cones." Czechoslovak Mathematical Journal 68.4 (2018): 1033-1050. <http://eudml.org/doc/294340>.
@article{Shamoyan2018,
abstract = {We obtain new sharp embedding theorems for mixed-norm Herz-type analytic spaces in tubular domains over symmetric cones. These results enlarge the list of recent sharp theorems in analytic spaces obtained by Nana and Sehba (2015).},
author = {Shamoyan, Romi F., Mihić, Olivera},
journal = {Czechoslovak Mathematical Journal},
keywords = {analytic function; tubular domain; embedding theorem},
language = {eng},
number = {4},
pages = {1033-1050},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some new sharp estimates in analytic Herz-type function spaces in tubular domains over symmetric cones},
url = {http://eudml.org/doc/294340},
volume = {68},
year = {2018},
}
TY - JOUR
AU - Shamoyan, Romi F.
AU - Mihić, Olivera
TI - On some new sharp estimates in analytic Herz-type function spaces in tubular domains over symmetric cones
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 4
SP - 1033
EP - 1050
AB - We obtain new sharp embedding theorems for mixed-norm Herz-type analytic spaces in tubular domains over symmetric cones. These results enlarge the list of recent sharp theorems in analytic spaces obtained by Nana and Sehba (2015).
LA - eng
KW - analytic function; tubular domain; embedding theorem
UR - http://eudml.org/doc/294340
ER -
References
top- Abate, A., Raissy, J., Saracco, A., 10.1016/j.jfa.2012.08.027, J. Funct. Anal. 263 (2012), 3449-3491. (2012) Zbl1269.32003MR2984073DOI10.1016/j.jfa.2012.08.027
- Abate, M., Saracco, A., 10.1112/jlms/jdq092, J. Lond. Math. Soc., II. Ser. 83 (2011), 587-605. (2011) Zbl1227.32008MR2802500DOI10.1112/jlms/jdq092
- Bekolle, D., Bonami, A., Garrigos, G., Nana, C., Peloso, M., Ricci, F., Lecture notes on Bergman projectors in tube domains over cones: an analytic and geometric viewpoint, IMHOTEP J. Afr. Math. Pures Appl. 5 (2004), 75 pages. (2004) Zbl1286.32001MR2244169
- Bekolle, D., Bonami, A., Garrigos, G., Ricci, F., 10.1112/S0024611504014765, Proc. Lond. Math. Soc., III. Ser. 89 (2004), 317-360. (2004) Zbl1079.42015MR2078706DOI10.1112/S0024611504014765
- Bekolle, D., Bonami, A., Garrigos, G., Ricci, F., Sehba, B., 10.1515/CRELLE.2010.072, J. Reine Angew. Math. 647 (2010), 25-56. (2010) Zbl1243.42035MR2729357DOI10.1515/CRELLE.2010.072
- Bekolle, D., Sehba, B., Tchoundja, E., 10.1007/s00020-016-2336-8, Integral Equations Oper. Theory 86 (2016), 475-494. (2016) Zbl1372.32011MR3578037DOI10.1007/s00020-016-2336-8
- Carleson, L., 10.2307/1970375, Ann. Math. 76 (1962), 547-559. (1962) Zbl0112.29702MR0141789DOI10.2307/1970375
- Cima, J. A., Mercer, P. R., Composition operators between Bergman spaces on convex domains in , J. Oper. Theory 33 (1995), 363-369. (1995) Zbl0840.47025MR1354986
- Cima, J. A., Wogen, W. R., A Carleson measure theorem for the Bergman space on the ball, J. Oper. Theory 7 (1982), 157-165. (1982) Zbl0499.42011MR0650200
- Duren, P. L., 10.1090/S0002-9904-1969-12181-6, Bull. Am. Math. Soc. 75 (1969), 143-146. (1969) Zbl0184.30503MR0241650DOI10.1090/S0002-9904-1969-12181-6
- Gheorghe, L. G., Interpolation of Besov spaces and applications, Matematiche 55 (2000), 29-42. (2000) Zbl1009.46008MR1888995
- Hastings, W. W., 10.2307/2040137, Proc. Am. Math. Soc. 52 (1975), 237-241. (1975) Zbl0296.31009MR0374886DOI10.2307/2040137
- Kaptanoğlu, H. T., 10.1016/j.jfa.2006.12.016, J. Funct. Anal. 250 (2007), 483-520. (2007) Zbl1135.46014MR2352489DOI10.1016/j.jfa.2006.12.016
- Li, S., Shamoyan, R., 10.1016/j.bulsci.2008.04.003, Bull. Sci. Math. 134 (2010), 144-154. (2010) Zbl1187.32003MR2592966DOI10.1016/j.bulsci.2008.04.003
- Luecking, D., 10.2307/2043353, Proc. Am. Math. Soc. 87 (1983), 656-660. (1983) Zbl0521.32005MR0687635DOI10.2307/2043353
- Nana, C., Sehba, B. F., 10.1007/s00020-014-2210-5, Integral Equations Oper. Theory 83 (2015), 151-178. (2015) Zbl1326.32018MR3404692DOI10.1007/s00020-014-2210-5
- Nana, C., Sehba, B., Toeplitz and Hankel operators from Bergman to analytic Besov spaces of tube domains over symmetric cones, Avaible at https://arxiv.org/abs/1508.05819. MR3851374
- Oleĭnik, V. L., 10.1007/BF01578546, J. Sov. Math. 9 (1978), 228-243. (1978) Zbl0396.31001DOI10.1007/BF01578546
- Oleĭnik, V. L., Pavlov, B. S., 10.1007/BF01099672, J. Sov. Math. 2 (1974), 135-142. (1974) Zbl0278.46032MR0369705DOI10.1007/BF01099672
- Sehba, B. F., 10.1007/s00020-008-1620-7, Integral Equations Oper. Theory 62 (2008), 233-245. (2008) Zbl1198.47047MR2447916DOI10.1007/s00020-008-1620-7
- Sehba, B. F., 10.1017/S0013091506001593, Proc. Edinb. Math. Soc., II. Ser. 52 (2009), 529-544. (2009) Zbl1168.42011MR2506404DOI10.1017/S0013091506001593
- Shamoyan, R. F., Mihić, O. R., 10.1007/s10587-016-0273-y, Czech. Math. J. 66 (2016), 527-546. (2016) Zbl06604484MR3519619DOI10.1007/s10587-016-0273-y
- Yamaji, S., 10.32917/hmj/1368217952, Hiroshima Math. J. 43 (2013), 107-127. (2013) Zbl1304.47034MR3066527DOI10.32917/hmj/1368217952
- Yamaji, S., 10.2969/jmsj/06541101, J. Math. Soc. Japan 64 (2013), 1101-1115. (2013) Zbl1284.47025MR3127818DOI10.2969/jmsj/06541101
- Zhu, K., 10.1007/0-387-27539-8, Graduate Texts in Mathematics 226, Springer, New York (2005). (2005) Zbl1067.32005MR2115155DOI10.1007/0-387-27539-8
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