Research Article
Year 2017,
Volume: 17 Issue: 2, 488 - 493, 31.08.2017
Abstract
Inthispaper, firstly, werecallthedefinition of vector-valuedclassical amalgam spaces(𝐿 𝑝(𝐺, 𝐴), 𝑙 𝑞), and givesomeinformationaboutthesespaces. Secondly, we define thespace𝐴𝑝1,𝑝2 𝑞1,𝑞2
(𝐺, 𝐴) and investigate some basic properties. Finally, we discussinclusions of thesespacesundersomeconditions.
References
- Avcı, H.,Gürkanli, A.T., 2007.Multipliersandtensorproducts of 𝐿(𝑝,𝑞)Lorentzspaces.Acta Math Scie., 27B(1), 107-116. Aydın, I, Gürkanlı, A.T., 2012.Weightedvariableexponent amalgam spaces𝑊(𝐿𝑝(𝑥),𝐿𝑤𝑞), Glas Mat, Vol. 47(67),165-174. Bonsall, F.F.,Duncan, J., 1973. Complete normedalgebras, Springer-Verlag, Belin, Heidelberg, New-York. Feichtinger, H.G., 1980.Banachconvolutionalgebras of Wienertype, In: Functions, Series, Operators, Proc. Conf. Budapest 38, Colloq. Math. Soc. JanosBolyai, 509-524. Fournier, J.J.,Stewart, J., 1985.Amalgams of 𝐿𝑝and𝑙𝑞, Bull Amer Math Soc, 13, 1-21. Gaudry, G. I., 1965.Quasimeasuresandoperatorscommutingwithconvolution, Pac J Math., 13(3), 461-476. Hewitt, E.,Ross, K.A., 1970,1979. AbstractHarmonic Analysis, Vol I-II, Berlin-Heidelberg-New York, Sipringer-Verlag. Lakshmi, D.V., Ray, S.K., 2009.Vector-valued amalgam spaces, Int J CompCog, Vol. 7(4), 33-36. Lakshmi, D. V., Ray, S.K., 2010.Convolutionproduct on vector-valued amalgam spaces, Int J CompCog , Vol. 8(3), 67-73. Rieffel, M.A., 1969.Multipliersandtensorproducts of 𝐿𝑝 spaces of locally compact geroups, Stud Math, 33, 71-82. Rudin, W., 1962. Fourier Analysis on Groups, New York, Interscience. Squire, M.L.T. 1984.Amalgams of 𝐿𝑝and𝑙𝑞, Ph.D. Thesis, McMasterUniversity. Wiener, N. 1926. On therepresentation of functionsbytrigonometricintegrals, Math. Z., 24, 575-616.
Year 2017,
Volume: 17 Issue: 2, 488 - 493, 31.08.2017
Abstract
Bu makalede, ilk önceklasik vektör-değerli amalgam (𝐿𝑝(𝐺,𝐴),𝑙𝑞) uzaylarının tanımı yeniden hatırlatıldı ve bu uzaylarhakkında bazı bilgiler verildi. İkinci olarak, 𝐴𝑝1,𝑝2𝑞1,𝑞2(𝐺,𝐴) uzayı tanımlandı ve bu uzayın bazı temel özellikleri incelendi. Son olarak, bu uzayın bazı koşullar altında kapsama özellikleri tartışıldı.
References
- Avcı, H.,Gürkanli, A.T., 2007.Multipliersandtensorproducts of 𝐿(𝑝,𝑞)Lorentzspaces.Acta Math Scie., 27B(1), 107-116. Aydın, I, Gürkanlı, A.T., 2012.Weightedvariableexponent amalgam spaces𝑊(𝐿𝑝(𝑥),𝐿𝑤𝑞), Glas Mat, Vol. 47(67),165-174. Bonsall, F.F.,Duncan, J., 1973. Complete normedalgebras, Springer-Verlag, Belin, Heidelberg, New-York. Feichtinger, H.G., 1980.Banachconvolutionalgebras of Wienertype, In: Functions, Series, Operators, Proc. Conf. Budapest 38, Colloq. Math. Soc. JanosBolyai, 509-524. Fournier, J.J.,Stewart, J., 1985.Amalgams of 𝐿𝑝and𝑙𝑞, Bull Amer Math Soc, 13, 1-21. Gaudry, G. I., 1965.Quasimeasuresandoperatorscommutingwithconvolution, Pac J Math., 13(3), 461-476. Hewitt, E.,Ross, K.A., 1970,1979. AbstractHarmonic Analysis, Vol I-II, Berlin-Heidelberg-New York, Sipringer-Verlag. Lakshmi, D.V., Ray, S.K., 2009.Vector-valued amalgam spaces, Int J CompCog, Vol. 7(4), 33-36. Lakshmi, D. V., Ray, S.K., 2010.Convolutionproduct on vector-valued amalgam spaces, Int J CompCog , Vol. 8(3), 67-73. Rieffel, M.A., 1969.Multipliersandtensorproducts of 𝐿𝑝 spaces of locally compact geroups, Stud Math, 33, 71-82. Rudin, W., 1962. Fourier Analysis on Groups, New York, Interscience. Squire, M.L.T. 1984.Amalgams of 𝐿𝑝and𝑙𝑞, Ph.D. Thesis, McMasterUniversity. Wiener, N. 1926. On therepresentation of functionsbytrigonometricintegrals, Math. Z., 24, 575-616.
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Details
| Primary Language | Turkish |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | August 31, 2017 |
| Submission Date | October 4, 2016 |
| Published in Issue | Year 2017 Volume: 17 Issue: 2 |
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