scholarly journals Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1

2018 ◽  
Vol 38 (5) ◽  
pp. 733 ◽  
Author(s):  
Grigori Rozenblum ◽  
Grigory Tashchiyan
Keyword(s):  
Eigenvalue Asymptotics ◽  
Potential Type ◽  
Potential Type Operators

scholarly journals A weighted inequality for potential type operators

2019 ◽  
Vol 10 (4) ◽  
pp. 413-426
Author(s):  
Aïssata Adama ◽  
Justin Feuto ◽  
Ibrahim Fofana
Keyword(s):  
Convolution Type ◽  
Weighted Inequality ◽  
Lebesgue Spaces ◽  
Potential Type ◽  
Type Spaces ◽  
Weak Lebesgue Spaces ◽  
Potential Type Operators

AbstractWe establish a weighted inequality for fractional maximal and convolution type operators, between weak Lebesgue spaces and Wiener amalgam type spaces on {\mathbb{R}} endowed with a measure which needs not to be doubling.

scholarly journals Potential type operators in PDEs and their applications

2017 ◽  
Author(s):  
Evgeniya Burtseva ◽  
Staffan Lundberg ◽  
Lars-Erik Persson ◽  
Natasha Samko
Keyword(s):  
Potential Type ◽  
Potential Type Operators

scholarly journals Norm Inequalities for Potential-Type Operators

1987 ◽  
pp. 311-335
Author(s):  
Sagun Chanillo ◽  
Richard Wheeden ◽  
Jan-Olov Strömberg
Keyword(s):  
Norm Inequalities ◽  
Potential Type ◽  
Potential Type Operators

Riesz Potential With Logarithmic Kernel in Generalized Hölder Spaces

2021 ◽  
pp. 275-296
Author(s):  
Boris Grigorievich Vakulov ◽  
Yuri Evgenievich Drobotov
Keyword(s):  
Financial Analysis ◽  
Riesz Potential ◽  
Inverse Operator ◽  
Mathematical Physics ◽  
Hölder Spaces ◽  
Fractal Sets ◽  
Logarithmic Kernel ◽  
Potential Type ◽  
Holder Spaces ◽  
Potential Type Operators

The multidimensional Riesz potential type operators are of interest within mathematical modelling in economics, mathematical physics, and other, both theoretical and applied, disciplines as they play a significant role for analysis on fractal sets. Approaches of operator theory are relevant to researching various equations, which are widespread in financial analysis. In this chapter, integral equations with potential type operators are considered for functions from generalized Hölder spaces, which provide content terminology for formalizing the concept of smoothness, briefly described in the presented chapter. Results on potentials defined on the unit sphere are described for convenience of the analysis. An inverse operator for the Riesz potential with a logarithmic kernel is carried out, and the isomorphisms between generalized Hölder spaces are proven.

On the boundedness of some potential-type operators with oscillating kernels

2005 ◽  
Vol 278 (5) ◽  
pp. 554-574 ◽  
Author(s):  
Denis N. Karasev ◽  
Vladimir A. Nogin
Keyword(s):  
Potential Type ◽  
Potential Type Operators
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