BOUNDEDNESS OF HIGH ORDER RIESZ-BESSEL TRANSFORMATIONS GENERATED BY GENERALIZED SHIFT OPERATOR ON {B}$a$ SPACES

Citation:

A.SERBETCI,I. EKINCIOGLU.BOUNDEDNESS OF HIGH ORDER RIESZ-BESSEL TRANSFORMATIONS GENERATED BY GENERALIZED SHIFT OPERATOR ON {B}$a$ SPACES[J].Chinese Annals of Mathematics B,2003,24(1):65~72
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Authors:

A.SERBETCI; I. EKINCIOGLU
Abstract: The boundedness of high order Riesz-Bessel transformations generated by generalized shift operator on {B}$a$ Spaces $(L_{p_{m,\nu}}({\Bbb R}_n^+),a_m)$ is examined.

Keywords:

Generalized shift operator, Riesz-Bessel transformations, {B}$a$ spaces

Classification:

47G10, 45E10, 47B37
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