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Volumn 227, Issue 1, 1998, Pages 166-186

An Extension of Hedberg's Convolution Inequality and Applications

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EID: 0013527953     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6092     Document Type: Article
Times cited : (12)

References (18)
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    • A sharp embedding theorem for Orlicz-Sobolev spaces
    • Cianchi A. A sharp embedding theorem for Orlicz-Sobolev spaces. Indiana Univ. Math. J. 45:1996;36-65.
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  • 7
    • 0040036760 scopus 로고    scopus 로고
    • Strong and weak type inequalities for some classical operators in Orlicz spaces
    • A. Cianchi, Strong and weak type inequalities for some classical operators in Orlicz spaces, J. London Math. Soc.
    • J. London Math. Soc.
    • Cianchi, A.1
  • 8
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    • Orlicz-Sobolev spaces and imbedding theorems
    • Donaldson T. K., Trudinger N. S. Orlicz-Sobolev spaces and imbedding theorems. J. Funct. Anal. 8:1971;52-75.
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    • Donaldson, T.K.1    Trudinger, N.S.2
  • 9
    • 0001821243 scopus 로고
    • Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
    • Edmunds D. E., Gurka P., Opic B. Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces. Indiana Univ. Math. J. 44:1995;19-43.
    • (1995) Indiana Univ. Math. J. , vol.44 , pp. 19-43
    • Edmunds, D.E.1    Gurka, P.2    Opic, B.3
  • 10
    • 0040795290 scopus 로고    scopus 로고
    • Some remarks on Sobolev embeddings in borderline cases
    • Fusco N., Lions P. L., Sbordone C. Some remarks on Sobolev embeddings in borderline cases. Proc. Amer. Math. Soc. 70:1996;561-565.
    • (1996) Proc. Amer. Math. Soc. , vol.70 , pp. 561-565
    • Fusco, N.1    Lions, P.L.2    Sbordone, C.3
  • 11
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    • On certain convolution inequalities
    • Hedberg L. I. On certain convolution inequalities. Proc. Amer. Math. Soc. 36:1972;505-510.
    • (1972) Proc. Amer. Math. Soc. , vol.36 , pp. 505-510
    • Hedberg, L.I.1
  • 14
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    • A pointwise inequality for Riesz potentials in Orlicz spaces
    • Moscariello G. A pointwise inequality for Riesz potentials in Orlicz spaces. Rend. Accad. Sci. Fis. Mat. 53:1986;41-47.
    • (1986) Rend. Accad. Sci. Fis. Mat. , vol.53 , pp. 41-47
    • Moscariello, G.1
  • 15
    • 0001460959 scopus 로고
    • Fractional integration in Orlicz spaces
    • O'Neil. Fractional integration in Orlicz spaces. Trans. Amer. Math. Soc. 115:1965;300-328.
    • (1965) Trans. Amer. Math. Soc. , vol.115 , pp. 300-328
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    • A note on Trudinger's extension of Sobolev's inequalities
    • Strichartz R. S. A note on Trudinger's extension of Sobolev's inequalities. Indiana Univ. Math. J. 21:1972;841-842.
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    • Strichartz, R.S.1
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    • On imbeddings into Orlicz spaces and some applications
    • Trudinger N. S. On imbeddings into Orlicz spaces and some applications. J. Math. Mech. 17:1967;473-483.
    • (1967) J. Math. Mech. , vol.17 , pp. 473-483
    • Trudinger, N.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.