Some remarks on boundary values of vector-valued harmonic and analytic functions

1991 ◽  
Vol 57 (1) ◽  
pp. 88-96 ◽  
Author(s):  
Wolfgang Hensgen
Keyword(s):  
Analytic Functions ◽  
Boundary Values ◽  
Vector Valued ◽  
Harmonic And Analytic Functions

scholarly journals Regularization of distributions

1998 ◽  
Vol 21 (4) ◽  
pp. 625-636 ◽  
Author(s):  
Ricardo Estrada
Keyword(s):  
Analytic Functions ◽  
Sufficient Condition ◽  
Boundary Values ◽  
Necessary And Sufficient Condition ◽  
Several Variables ◽  
Necessary And Sufficient ◽  
Harmonic And Analytic Functions ◽  
Regularization Of Distributions

We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables. We also consider functions defined in the complement of a hypersurface. We apply these results to the existence of distributional boundary values of harmonic and analytic functions.

scholarly journals Vector valued Hardy spaces related to analytic functions having distributional boundary values

2019 ◽  
Vol 64 (10) ◽  
pp. 1634-1654
Author(s):  
Richard D. Carmichael ◽  
Stevan Pilipović ◽  
Jasson Vindas
Keyword(s):  
Hardy Spaces ◽  
Analytic Functions ◽  
Boundary Values ◽  
Vector Valued

scholarly journals Boundary values of analytic functions without distributional point values

2004 ◽  
Vol 35 (1) ◽  
pp. 53-60 ◽  
Author(s):  
Ricardo Estrada
Keyword(s):  
Analytic Functions ◽  
Boundary Values ◽  
Tangential Limits

We give a method to construct distributions that are boundary values of analytic functions which have non-tangential limits at points where the distributional point value does not exist.

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