ON BOUNDEDNESS OF A CERTAIN CLASS OF HARDY–STEKLOV TYPE OPERATORS IN LEBESGUE SPACES

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STEPANOV V.D.; USHAKOVA E.P.

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Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2010 | Volume:4 | Issue:1 Page(s): 28-52

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Title

ON BOUNDEDNESS OF A CERTAIN CLASS OF HARDY–STEKLOV TYPE OPERATORS IN LEBESGUE SPACES

Author(s)

STEPANOV V.D. | USHAKOVA E.P. | Issue Writer Certificate

Keywords

INTEGRAL OPERATORS

LEBESGUE SPACES

WEIGHTS

BOUNDEDNESS

Abstract

Lp−Lq–boundedness of the map f ® w(x) òb(x)a (x) k(x, y)f(y)v(y)dy is described by different types of criteria expressed in terms of given parameters 0 < p, q < ¥, strictly increasing boundaries a(x) and b(x), locally integrable weight functions v,w and a positive continuous kernel k(x, y) satisfying some growth conditions.

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APA: Copy

STEPANOV, V.D., & USHAKOVA, E.P.. (2010). ON BOUNDEDNESS OF A CERTAIN CLASS OF HARDY–STEKLOV TYPE OPERATORS IN LEBESGUE SPACES. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 4(1), 28-52. SID. https://sid.ir/paper/316919/en

Vancouver: Copy

STEPANOV V.D., USHAKOVA E.P.. ON BOUNDEDNESS OF A CERTAIN CLASS OF HARDY–STEKLOV TYPE OPERATORS IN LEBESGUE SPACES. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2010;4(1):28-52. Available from: https://sid.ir/paper/316919/en

IEEE: Copy

V.D. STEPANOV, and E.P. USHAKOVA, “ON BOUNDEDNESS OF A CERTAIN CLASS OF HARDY–STEKLOV TYPE OPERATORS IN LEBESGUE SPACES,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 4, no. 1, pp. 28–52, 2010, [Online]. Available: https://sid.ir/paper/316919/en

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