Interpolations of Mixed-Norm Function Spaces

2021 ◽  
Author(s):  
Suqing Wu ◽  
Dachun Yang ◽  
Wen Yuan
Keyword(s):  
Function Spaces ◽  
Mixed Norm

scholarly journals Extended Cesàro operator between some holomorphic function spaces

2006 ◽  
Vol 74 (3) ◽  
pp. 385-392
Author(s):  
Xiaofen Lv
Keyword(s):  
Holomorphic Function ◽  
Unit Ball ◽  
Function Spaces ◽  
Mixed Norm ◽  
Cesàro Operator ◽  
Mixed Norm Space ◽  
Type Space ◽  
Bloch Type Space ◽  
Norm Space ◽  
Cesaro Operator

We characterize the boundedness and compactness of the extended Cesàro operator Tg from H∞ to the mixed norm space and Bloch-type space (or little Bloch-type space), where g is a given holomorphic function in the unit ball of Cn and Tg is defined by .

FUNCTION SPACES WITH MIXED NORM

1971 ◽  
Vol 5 (5) ◽  
pp. 1145-1167 ◽  
Author(s):  
Ja S Bugrov
Keyword(s):  
Function Spaces ◽  
Mixed Norm

scholarly journals On traces of analytic Gp type spaces, mixed norm spaces and harmonic Bergman classes on certain polydomains

Filomat ◽  
2011 ◽  
Vol 25 (1) ◽  
pp. 1-19
Author(s):  
Romi Shamoyan ◽  
Olivera Mihic
Keyword(s):  
Analytic Function ◽  
Unit Ball ◽  
Function Spaces ◽  
Mixed Norm ◽  
Mixed Norm Spaces ◽  
Type Spaces ◽  
Analytic Function Spaces

In this paper, we introduce new Qp type spaces and mixed norm analytic function spaces on polyballs and describe completely their traces on unit ball. Complete descriptions of traces of harmonic Bergman classes on products of unit balls of Rn and products of Rn+1 half spaces will be also provided.

Function Spaces and Nonsymmetric Norm Preserving Maps

2018 ◽  
Vol 25 (5) ◽  
pp. 729-740
Author(s):  
Hadis Pazandeh ◽  
Fereshteh Sady
Keyword(s):  
Function Spaces

The Mehler-Fock-Clifford transform and pseudo-differential operator on function spaces

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2457-2469
Author(s):  
Akhilesh Prasad ◽  
S.K. Verma
Keyword(s):  
Differential Operator ◽  
Function Spaces ◽  
Pseudo Differential Operator ◽  
Test Function ◽  
Basic Properties ◽  
Cone Function ◽  
Translation Operators

In this article, weintroduce a new index transform associated with the cone function Pi ??-1/2 (2?x), named as Mehler-Fock-Clifford transform and study its some basic properties. Convolution and translation operators are defined and obtained their estimates under Lp(I, x-1/2 dx) norm. The test function spaces G? and F? are introduced and discussed the continuity of the differential operator and MFC-transform on these spaces. Moreover, the pseudo-differential operator (p.d.o.) involving MFC-transform is defined and studied its continuity between G? and F?.

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