References
- [1] I. Aydın and A.T.G¨urkanlı, On some properties of the spaces Ap(x) ! (Rn) . Proceedings of the Jangjeon Mathematical Society, 12 (2009), No.2, pp.141-155.
- [2] I. Aydın, Weighted variable Sobolev spaces and capacity, Journal of Function Spaces and Applications, Volume 2012, Article ID 132690, 17 pages, doi:10.1155/2012/132690.
- [3] I.Aydın and A.T.G¨urkanlı, Weighted variable exponent amalgam spaces W ( Lp(x),Lqw ) , Glasnik Matematicki, Vol.47(67), (2012), 167-176.
- [4] D. Cruz Uribe and A. Fiorenza, LlogL results for the maximal operator in variable Lp spaces, Trans. Amer. Math. Soc., 361 (5), (2009), 2631-2647.
- [5] D. Cruz Uribe, A. Fiorenza, J. M. Martell and C. Perez Moreno, The boundedness of classical operators on variable Lp spaces, Ann. Acad. Sci. Fenn., Math., 31(1), (2006), 239-264.
- [6] L. Diening, Maximal function on generalized Lebesgue spaces Lp(:), Mathematical Inequalities and Applications, 7(2004), 245-253.
- [7] L. Diening, P. H¨ast¨o and A. Nekvinda, Open problems in variable exponent Lebesgue and Sobolev spaces. In FSDONA04 Proceedings (Milovy, Czech Republic, 2004), 38-58.
- [8] L. Diening, P. H¨ast¨o, and S. Roudenko, Function spaces of variable smoothness and integrability, J. Funct. Anal., 256(6), (2009), 1731-1768.
- [9] D. Edmunds, J. Lang, and A. Nekvinda, On Lp(x) norms, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci., 455, (1999), 219-225.
- [10] H. G. Feichtinger, Banach convolution algebras of Wiener type, In: Functions, Series, Operators, Proc. Conf. Budapest 38, Colloq. Math. Soc. Janos Bolyai, (1980), 509-524.
- [11] H. G. Feichtinger, Banach spaces of Distributions of Wiener’s type and Interpolation, In Proc. Conf. Functional Analysis and Approximation, Oberwolfach August 1980, Internat. Ser. Numer. Math., 69:153-165. Birkhauser, Boston, 1981.
- [12] H. G. Feichtinger and K. H. Gr¨ochenig, Banach spaces related to integrable group representations and their atomic decompositions I, J. Funct. Anal., 86(1989), 307-340.
- [13] H. G. Feichtinger and A. T. G¨urkanli, On a family of weighted convolution algebras, Internat. J. Math. and Math. Sci., 13 (1990), 517-526.
- [14] R. H. Fischer, A. T. G¨urkanlı and T. S. Liu, On a Family of Wiener type spaces, Internat. J. Math. and Math. Sci.,19 (1996), 57-66.
- [15] R. H. Fischer, A. T. G¨urkanlı and T. S. Liu, On a family of weighted spaces, Math. Slovaca, 46(1996), 71-82.
- [16] J. J. Fournier and J. Stewart, Amalgams of Lpand ℓq, Bull. Amer. Math. Soc., 13 (1985), 1-21.
- [17] C. Heil, An introduction to weighted Wiener amalgams, In: Wavelets and their applications (Chennai, January 2002), Allied Publishers, New Delhi, (2003), p. 183-216.
- [18] F. Holland, Square-summable positive-definite functions on the real line, Linear Operators Approx. II, Proc. Conf. Oberwolfach, ISNM 25, (1974), 247-257.
- [19] F. Holland, Harmonic analysis on amalgams of Lpand ℓq, J. London Math. Soc. (2), 10, (1975), 295-305.
- [20] O. Kovacik and J. Rakosnik, On spaces Lp(x) and Wk;p(x), Czech. Math. J., 41(116), (1991), 592-618.
- [21] J. Musielak, Orlicz spaces and modular spaces, Springer-Verlag, Lecture Notes in Math., 1983.
- [22] W. Orlicz, ¨Uber konjugierte exponentenfolgen, Studia Math. 3, (1931), 200-212.
- [23] H. Reiter, Classical harmonic analysis and locally compact groups, Oxford University Press, Oxford, 1968.
- [24] B. Sa˘gır: On functions with Fourier transforms inW(B, Y ), Demonstratio Mathematica, Vol. XXXIII, No.2, 355-363, (2000).
- [25] S. G. Samko, Convolution type operators in Lp(x), Integr. Transform. and Special Funct.,7(1998), 123-144.
- [26] N. Wiener, Generalized Harmonic Analysis Tauberian Theorems, The M.I.T. Press, 1964.