Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means
We establish necessary and sufficient conditions for a point A of the Knopp kernelK(f) of a functionf to belong to the kernelK(M) of a functionM(t):=∫ S fdμ t , where the so-called almost positive measures μ t determine a regular method of summation. In particular, this gives coincidence criteria for the kernelsK(f) andK(M).
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 9, pp 1425-1434.
Citation Example: Usenko E. G. Coincidence criteria for the kernel of a function and the kernel of its integral almost positive means // Ukr. Mat. Zh. - 1999. - 51, № 9. - pp. 1267–1275.