메뉴 건너뛰기




Volumn 10, Issue 1, 2003, Pages 145-156

Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent

Author keywords

42B20; 47B38; curve of bounded rotation; Lyapunov curve; singular integral operators; Variable exponent

Indexed keywords


EID: 84893030671     PISSN: 1072947X     EISSN: 15729176     Source Type: Journal    
DOI: 10.1515/GMJ.2003.145     Document Type: Article
Times cited : (99)

References (28)
  • 1
    • 0011021604 scopus 로고
    • Estimates with A1 weights for various singular integral operators
    • T. Alvarez and C. Pérez, Estimates with A1 weights for various singular integral operators. Boll. Un. Mat. Ital., A (7) 8 (1994), No. 1, 123-133.
    • (1994) Boll. Un. Mat. Ital., A (7) , vol.8 , Issue.1 , pp. 123-133
    • Alvarez, T.1    Pérez, C.2
  • 2
    • 0000605029 scopus 로고
    • Best approximations and differential properties of two conjugate functions
    • (Russian).
    • N. K. Bari and S. B. Stechkin, Best approximations and differential properties of two conjugate functions. (Russian) Trudy Moskov. Mat. Obshch. 5(1956), 483-522.
    • (1956) Trudy Moskov. Mat. Obshch. , vol.5 , pp. 483-522
    • Bari, N.K.1    Stechkin, S.B.2
  • 5
    • 85070181994 scopus 로고    scopus 로고
    • Maximal functions on generalized Lebesgue spaces Lp(x)
    • (to appear).
    • L. Diening, Maximal functions on generalized Lebesgue spaces Lp(x). Math. Inequal. Appl. (to appear).
    • Math. Inequal. Appl.
    • Diening, L.1
  • 7
    • 0003742780 scopus 로고
    • Introduction to the theory of uniform approximation of functions by polynomials
    • (Russian) Nauka, Moscow.
    • V. K. Dzjadyk, Introduction to the theory of uniform approximation of functions by polynomials. (Russian) Nauka, Moscow, 1977.
    • (1977)
    • Dzjadyk, V.K.1
  • 9
    • 0036378104 scopus 로고    scopus 로고
    • Potential-type operators in Lp(x) spaces
    • D. E. Edmunds and A. Meskhi, Potential-type operators in Lp(x) spaces. Z. Anal. Anwendungen 21(2002), No. 3, 681-690.
    • (2002) Z. Anal. Anwendungen , vol.21 , Issue.3 , pp. 681-690
    • Edmunds, D.E.1    Meskhi, A.2
  • 10
    • 0036000459 scopus 로고    scopus 로고
    • Averaging operators on lfpng and Lp(x)
    • D. E. Edmunds and A. Nekvinda, Averaging operators on lfpng and Lp(x). Math. Inequal. Appl. 5(2002), No. 2, 235-246.
    • (2002) Math. Inequal. Appl. , vol.5 , Issue.2 , pp. 235-246
    • Edmunds, D.E.1    Nekvinda, A.2
  • 11
    • 0001337358 scopus 로고
    • Density of smooth functions in Wk;p(x)(-)
    • D. E. Edmunds and J. Rákosník, Density of smooth functions in Wk;p(x)(-). Proc. Roy. Soc. London Ser. A 437(1992), No. 1899, 229-236.
    • (1992) Proc. Roy. Soc. London Ser. A , vol.437 , Issue.1899 , pp. 229-236
    • Edmunds, D.E.1    Rákosník, J.2
  • 12
    • 0036689575 scopus 로고    scopus 로고
    • A mean continuity type result for certain Sobolev spaces with variable exponent
    • A. Fiorenza, A mean continuity type result for certain Sobolev spaces with variable exponent. Commun. Contemp. Math. 4(2002), No. 3, 587-605.
    • (2002) Commun. Contemp. Math. , vol.4 , Issue.3 , pp. 587-605
    • Fiorenza, A.1
  • 13
    • 0010058744 scopus 로고
    • The method of Cauchy type integrals for discontinuous boundary value problems of the theory of holomorphic functions of one variable
    • (Russian).
    • B. V. Khvedelidze, The method of Cauchy type integrals for discontinuous boundary value problems of the theory of holomorphic functions of one variable. (Russian) Itogi Nauki. i Tekhniki, Sovrem. Probl. Mat. 7(1977), 5-162.
    • (1977) Itogi Nauki. i Tekhniki, Sovrem. Probl. Mat. , vol.7 , pp. 5-162
    • Khvedelidze, B.V.1
  • 14
    • 27844449014 scopus 로고    scopus 로고
    • Maximal and fractional operators in weighted Lp(x)-spaces
    • V. Kokilashvili and S. Samko Maximal and fractional operators in weighted Lp(x)-spaces. Proc. A. Razmadze Math. Inst. 129(2002), 145-149.
    • (2002) Proc. A. Razmadze Math. Inst. , vol.129 , pp. 145-149
    • Kokilashvili, V.1    Samko, S.2
  • 15
    • 85026056411 scopus 로고    scopus 로고
    • Maximal and fractional operators in weighted Lp(x) spaces
    • (accepted for publication).
    • V. Kokilashvili and S. Samko, Maximal and fractional operators in weighted Lp(x) spaces. Rev. Mat. Iberoamericana (accepted for publication).
    • Rev. Mat. Iberoamericana
    • Kokilashvili, V.1    Samko, S.2
  • 16
    • 85026110688 scopus 로고    scopus 로고
    • Singular integrals and potentials in some Banach spaces with variable exponent
    • (accepted for publication).
    • V. Kokilashvili and S. Samko, Singular integrals and potentials in some Banach spaces with variable exponent. J. Funct. Spaces Appl. (accepted for publication).
    • J. Funct. Spaces Appl.
    • Kokilashvili, V.1    Samko, S.2
  • 17
  • 18
    • 0003196293 scopus 로고    scopus 로고
    • Electrorheological fluids: modeling and mathematical theory
    • Springer, Berlin.
    • M. Rákosník, Electrorheological fluids: modeling and mathematical theory. Lecture Notes in Mathematics, 1748. Springer, Berlin, 2000.
    • (2000) Lecture Notes in Mathematics , pp. 1748
    • Rákosník, M.1
  • 19
    • 84877906747 scopus 로고    scopus 로고
    • Convolution and potential type operators in Lp(x)(Rn)
    • S. G. Samko, Convolution and potential type operators in Lp(x)(Rn). Integral Transform. Spec. Funct. 7(1998), No. 3-4, 261-284.
    • (1998) Integral Transform. Spec. Funct. , vol.7 , Issue.3-4 , pp. 261-284
    • Samko, S.G.1
  • 20
    • 0001744015 scopus 로고
    • Differentiation and integration of variable order and the spaces Lp(x)
    • (Mexico City)
    • S. G. Samko, Differentiation and integration of variable order and the spaces Lp(x). Operator theory for complex and hypercomplex analysis (Mexico City, 1994), 203-219
    • (1994) Operator theory for complex and hypercomplex analysis , pp. 203-219
    • Samko, S.G.1
  • 21
    • 0004265556 scopus 로고    scopus 로고
    • Amer. Math. Soc., Providence, RI.
    • Contemp. Math., 212, Amer. Math. Soc., Providence, RI, 1998.
    • (1998) Contemp. Math. , vol.212
  • 22
    • 0038269821 scopus 로고    scopus 로고
    • Density C1O (Rn) in the generalized Sobolev spacesWm;p(x)(Rn)
    • (Russian).
    • S. G. Samko, Density C1O (Rn) in the generalized Sobolev spacesWm;p(x)(Rn). (Russian) Dokl. Ross. Akad. Nauk 369(1999), No. 4, 451-454.
    • (1999) Dokl. Ross. Akad. Nauk , vol.369 , Issue.4 , pp. 451-454
    • Samko, S.G.1
  • 23
    • 4043083491 scopus 로고    scopus 로고
    • Denseness of C1O (RN) in the generalized Sobolev spaces WM;P (X)(RN)
    • (Newark, DE)
    • S. Samko, Denseness of C1O (RN) in the generalized Sobolev spaces WM;P (X)(RN). Direct and inverse problems of mathematical physics (Newark, DE, 1997), 333-342
    • (1997) Direct and inverse problems of mathematical physics , pp. 333-342
    • Samko, S.1
  • 24
    • 84867556490 scopus 로고    scopus 로고
    • Kluwer Acad. Publ., Dordrecht.
    • Int. Soc. Anal. Appl. Comput., 5, Kluwer Acad. Publ., Dordrecht, 2000.
    • (2000) Int. Soc. Anal. Appl. Comput. , vol.5
  • 26
    • 0346906141 scopus 로고    scopus 로고
    • On the uniform boundedness in Lp(p = p(x)) of some families of convolution operators
    • (Russian)
    • I. I. Sharapudinov, On the uniform boundedness in Lp(p = p(x)) of some families of convolution operators. (Russian) Mat. Zametki 59(1996), No. 2, 291-302
    • (1996) Mat. Zametki , vol.59 , Issue.2 , pp. 291-302
    • Sharapudinov, I.I.1
  • 27
    • 27544512226 scopus 로고    scopus 로고
    • translation in Math. Notes 59(1996), No. 1-2, 205-212
    • (1996) translation in Math. Notes , vol.59 , Issue.1-2 , pp. 205-212
  • 28
    • 0003552286 scopus 로고
    • Harmonic Analysis: real-variable methods, orthogonality and oscillatory integrals
    • Princeton Univ. Press, Princeton, NJ.
    • E. M. Stein, Harmonic Analysis: real-variable methods, orthogonality and oscillatory integrals. Princeton Univ. Press, Princeton, NJ, 1993.
    • (1993)
    • Stein, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.