Maximal estimate and integral operators in Bergman spaces with doubling measure

2019 ◽  
pp. 1
Author(s):  
Changbao Pang ◽  
Antti Perälä ◽  
Maofa Wang ◽  
Xin Guo
Keyword(s):  
Bergman Spaces ◽  
Integral Operators ◽  
Doubling Measure ◽  
Maximal Estimate

Two-dimensional Singular Integral Operators via Poly-Bergman Spaces

2011 ◽  
Author(s):  
Nikolai Vasilevski ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
Zacharias Anastassi
Keyword(s):  
Singular Integral ◽  
Bergman Spaces ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Two Dimensional

scholarly journals On Bergman-type spaces in tubular domains over symmetric cones

2020 ◽  
pp. 22-29
Author(s):  
Romi Shamoyan
Keyword(s):  
Bergman Spaces ◽  
Integral Operators ◽  
Integral Condition ◽  
Symmetric Cones ◽  
Type Integral ◽  
Tube Domains ◽  
Type Spaces ◽  
Atomic Type ◽  
Type Decomposition

Some properties of new Bergman-type integral operators on product of the tube domains are obtained. An integral condition in tube to get atomic-type decomposition in multifunctional analytic Bergman spaces in tube domains over symmetric cones are provided.

Commutators of sublinear operators in grand morrey spaces

2019 ◽  
Vol 56 (2) ◽  
pp. 211-232
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi ◽  
Humberto Rafeiro
Keyword(s):  
Integral Operators ◽  
Morrey Spaces ◽  
Doubling Measure ◽  
Maximal Operators ◽  
Metric Measure Spaces ◽  
Potential Operators ◽  
Sublinear Operators ◽  
Measure Spaces

Abstract In this paper we establish the boundedness of commutators of sublinear operators in weighted grand Morrey spaces. The sublinear operators under consideration contain integral operators such as Hardy-Littlewood and fractional maximal operators, Calderón-Zygmund operators, potential operators etc. The operators and spaces are defined on quasi-metric measure spaces with doubling measure.

Multianisotropic integral operators defined by regular equations

2018 ◽  
Vol 60 (3) ◽  
pp. 610-629
Author(s):  
G. A. Karapetyan ◽  
H. A. Petrosyan
Keyword(s):  
Integral Operators

Multi-parameter Singular Integrals II: General Theory

2017 ◽  
Author(s):  
Brian Street
Keyword(s):  
General Theory ◽  
Singular Integral ◽  
Singular Integrals ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Main Issue

This chapter turns to a general theory which generalizes and unifies all of the examples in the preceding chapters. A main issue is that the first definition from the trichotomy does not generalize to the multi-parameter situation. To deal with this, strengthened cancellation conditions are introduced. This is done in two different ways, resulting in four total definitions for singular integral operators (the first two use the strengthened cancellation conditions, while the later two are generalizations of the later two parts of the trichotomy). Thus, we obtain four classes of singular integral operators, denoted by A1, A2, A3, and A4. The main theorem of the chapter is A1 = A2 = A3 = A4; i.e., all four of these definitions are equivalent. This leads to many nice properties of these singular integral operators.

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