Download E-books Measure of Non-Compactness For Integral Operators in Weighted Lebesgue Spaces PDF
By Alexander Meskhi
This booklet is dedicated to the degree of non-compactness (essential norm) in weighted Lebesgue areas for maximal, capability and singular operators dened, as a rule conversing, on homogeneous teams. the most themes of the monograph include similar effects for power and singular integrals in weighted functionality areas with non-standard progress. one of many major attribute beneficial properties of the monograph is that the issues are studied within the two-weighted atmosphere and canopy the case of non-linear maps, similar to, Hardy-Littlewood and fractional maximal services. sooner than, those difficulties have been investigated just for the constrained category of kernel operators consisting basically of Hardy-type and Riemann-Liouville transforms. The publication might be regarded as a scientific and targeted research of a category of particular necessary operators from the boundedness/compactness or non-compactness standpoint. the fabric is self-contained and will be learn by way of people with a few historical past in actual and practical research.
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