Hüseyin YILDIRIM

On Generalization of The Quasi Homogeneous Riesz Potential

In this paper, a generalization of the quasi homogeneous Riesz Potential has been defined using non-isotropic quasi-distance and its Lp (p \geq 1) continuity study.

Anahtar Kelimeler:

Non-isotropic quasi-distance, Riesz Potential, Quasimetric

On Generalization of The Quasi Homogeneous Riesz Potential

In this paper, a generalization of the quasi homogeneous Riesz Potential has been defined using non-isotropic quasi-distance and its Lp (p \geq 1) continuity study.

Keywords:

Non-isotropic quasi-distance, Riesz Potential, Quasimetric,

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[1] MizutaY.: Continuity properties of Riesz Potentials and bundary limits of Beppo Levi function, Math. Scand, 63(1988), 238-260.
[2] Zigmund,A.: Trigonometric series, I-II, Cambridge, (1968).
[3] Divniˇc, T. and Djuriˇc,Z.: A Generalization of the Riesz Potential, Kragujevac J. Math., 22(2000)83-86.
[4] Stein, E.M.: Singular Integrals Differantial Properties of Functions, Princeton University Press, Princeton, New Jersey. (1970).
[5] Fabes, E.B. and Riviere, N.M.: Symbolic Calculus of Kernels with Mixed Homogenety, Proceding of Symposion in Pure Math. P:107-127, 1967.
[6] Love,E.R. and Tuan,V.K.: Lp−Continuiy of Riesz potentials, Integral Trasforms and Special Functions, Vol. 1, No 1, pp 27-31, (1993).